{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2016-03-26T07:10:39+00:00","modifiedTime":"2016-03-26T07:10:39+00:00","timestamp":"2022-09-14T17:46:06+00:00"},"data":{"breadcrumbs":[{"name":"Academics & The Arts","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33662"},"slug":"academics-the-arts","categoryId":33662},{"name":"Math","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33720"},"slug":"math","categoryId":33720},{"name":"Geometry","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33725"},"slug":"geometry","categoryId":33725}],"title":"Corresponding Angles in Parallel Lines — Practice Geometry Questions","strippedTitle":"corresponding angles in parallel lines — practice geometry questions","slug":"corresponding-angles-in-parallel-lines-practice-geometry-questions","canonicalUrl":"","seo":{"metaDescription":"When two parallel lines are intersected by a third line — a transversal — corresponding pairs of angles are formed. You can use the properties of these angles t","noIndex":0,"noFollow":0},"content":"<p>When two parallel lines are intersected by a third line — a <i>transversal</i><i> —</i> corresponding pairs of angles are formed. You can use the properties of these angles to find missing angles.</p>\n<h2 id=\"tab1\" >Practice questions</h2>\n<p>Use the figures and the given information to solve for the missing angles in the following questions.</p>\n<ol class=\"level-one\">\n <li><p class=\"first-para\"></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501514.image0.png\" height=\"25\" alt=\"image0.png\" width=\"391\"/>\n<p class=\"child-para\">as shown in the following figure.</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501515.image1.png\" height=\"203\" alt=\"image1.png\" width=\"300\"/>\n<p class=\"child-para\">If</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501516.image2.png\" height=\"20\" alt=\"image2.png\" width=\"280\"/>\n </li>\n <li><p class=\"first-para\"></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501517.image3.png\" height=\"25\" alt=\"image3.png\" width=\"340\"/>\n<p class=\"child-para\">as shown in the following figure.</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501518.image4.png\" height=\"142\" alt=\"image4.png\" width=\"300\"/>\n<p class=\"child-para\">If</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501519.image5.png\" height=\"40\" alt=\"image5.png\" width=\"339\"/>\n </li>\n</ol>\n<h2 id=\"tab2\" >Answers and explanations</h2>\n<ol class=\"level-one\">\n <li><p class=\"first-para\">80 degrees</p>\n<p class=\"child-para\">When two parallel lines are cut by a transversal, corresponding angles are formed. </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501520.image6.png\" height=\"19\" alt=\"image6.png\" width=\"103\"/>\n<p class=\"child-para\">are corresponding angles, so they're congruent:</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501521.image7.png\" height=\"19\" alt=\"image7.png\" width=\"147\"/>\n<p class=\"child-para\">The three angles of </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501522.image8.png\" height=\"19\" alt=\"image8.png\" width=\"45\"/>\n<p class=\"child-para\">add up to 180 degrees, so</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501523.image9.png\" height=\"83\" alt=\"image9.png\" width=\"200\"/>\n </li>\n <li><p class=\"first-para\">35 degrees</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501524.image10.png\" height=\"19\" alt=\"image10.png\" width=\"120\"/>\n<p class=\"child-para\">are supplementary, which means they add up to 180 degrees:</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501525.image11.png\" height=\"184\" alt=\"image11.png\" width=\"276\"/>\n<p class=\"child-para\">form a straight line, so they also add up to 180 degrees:</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501526.image12.png\" height=\"83\" alt=\"image12.png\" width=\"235\"/>\n </li>\n</ol>","description":"<p>When two parallel lines are intersected by a third line — a <i>transversal</i><i> —</i> corresponding pairs of angles are formed. You can use the properties of these angles to find missing angles.</p>\n<h2 id=\"tab1\" >Practice questions</h2>\n<p>Use the figures and the given information to solve for the missing angles in the following questions.</p>\n<ol class=\"level-one\">\n <li><p class=\"first-para\"></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501514.image0.png\" height=\"25\" alt=\"image0.png\" width=\"391\"/>\n<p class=\"child-para\">as shown in the following figure.</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501515.image1.png\" height=\"203\" alt=\"image1.png\" width=\"300\"/>\n<p class=\"child-para\">If</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501516.image2.png\" height=\"20\" alt=\"image2.png\" width=\"280\"/>\n </li>\n <li><p class=\"first-para\"></p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501517.image3.png\" height=\"25\" alt=\"image3.png\" width=\"340\"/>\n<p class=\"child-para\">as shown in the following figure.</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501518.image4.png\" height=\"142\" alt=\"image4.png\" width=\"300\"/>\n<p class=\"child-para\">If</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501519.image5.png\" height=\"40\" alt=\"image5.png\" width=\"339\"/>\n </li>\n</ol>\n<h2 id=\"tab2\" >Answers and explanations</h2>\n<ol class=\"level-one\">\n <li><p class=\"first-para\">80 degrees</p>\n<p class=\"child-para\">When two parallel lines are cut by a transversal, corresponding angles are formed. </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501520.image6.png\" height=\"19\" alt=\"image6.png\" width=\"103\"/>\n<p class=\"child-para\">are corresponding angles, so they're congruent:</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501521.image7.png\" height=\"19\" alt=\"image7.png\" width=\"147\"/>\n<p class=\"child-para\">The three angles of </p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501522.image8.png\" height=\"19\" alt=\"image8.png\" width=\"45\"/>\n<p class=\"child-para\">add up to 180 degrees, so</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501523.image9.png\" height=\"83\" alt=\"image9.png\" width=\"200\"/>\n </li>\n <li><p class=\"first-para\">35 degrees</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501524.image10.png\" height=\"19\" alt=\"image10.png\" width=\"120\"/>\n<p class=\"child-para\">are supplementary, which means they add up to 180 degrees:</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501525.image11.png\" height=\"184\" alt=\"image11.png\" width=\"276\"/>\n<p class=\"child-para\">form a straight line, so they also add up to 180 degrees:</p>\n<img src=\"https://www.dummies.com/wp-content/uploads/501526.image12.png\" height=\"83\" alt=\"image12.png\" width=\"235\"/>\n </li>\n</ol>","blurb":"","authors":[{"authorId":8986,"name":"Allen Ma","slug":"allen-ma","description":" <p><b>Allen Ma </b>and<b> Amber Kuang </b>are math teachers at John F. Kennedy High School in Bellmore, NY. Allen has taught geometry for more than 25 years, has coached the math team, and is a former honors math research coordinator. Amber has taught all levels of math, from algebra to calculus, for 20 years.</p> ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8986"}},{"authorId":8987,"name":"Amber Kuang","slug":"amber-kuang","description":" <p><b>Allen Ma </b>and<b> Amber Kuang </b>are math teachers at John F. Kennedy High School in Bellmore, NY. Allen has taught geometry for more than 25 years, has coached the math team, and is a former honors math research coordinator. Amber has taught all levels of math, from algebra to calculus, for 20 years.</p> ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8987"}}],"primaryCategoryTaxonomy":{"categoryId":33725,"title":"Geometry","slug":"geometry","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33725"}},"secondaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"tertiaryCategoryTaxonomy":{"categoryId":0,"title":null,"slug":null,"_links":null},"trendingArticles":null,"inThisArticle":[{"label":"Practice questions","target":"#tab1"},{"label":"Answers and explanations","target":"#tab2"}],"relatedArticles":{"fromBook":[{"articleId":207513,"title":"Geometry: 1001 Practice Problems For Dummies Cheat Sheet","slug":"1001-geometry-practice-problems-for-dummies-cheat-sheet","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/207513"}},{"articleId":144555,"title":"Circle Basics for Geometry Problems","slug":"circle-basics-for-geometry-problems","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/144555"}},{"articleId":144556,"title":"Coordinate Geometry Formulas","slug":"coordinate-geometry-formulas","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/144556"}},{"articleId":144557,"title":"Geometry Practice Problems with Triangles and Polygons","slug":"geometry-practice-problems-with-triangles-and-polygons","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/144557"}},{"articleId":143448,"title":"Formulas for Geometric Solids Problems","slug":"formulas-for-geometric-solids-problems","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/143448"}}],"fromCategory":[{"articleId":230077,"title":"How to Copy an Angle Using a Compass","slug":"copy-angle-using-compass","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/230077"}},{"articleId":230072,"title":"How to Copy a Line Segment Using a Compass","slug":"copy-line-segment-using-compass","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/230072"}},{"articleId":230069,"title":"How to Find the Right Angle to Two Points","slug":"find-right-angle-two-points","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/230069"}},{"articleId":230066,"title":"Find the Locus of Points Equidistant from Two Points","slug":"find-locus-points-equidistant-two-points","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/230066"}},{"articleId":230063,"title":"How to Solve a Two-Dimensional Locus Problem","slug":"solve-two-dimensional-locus-problem","categoryList":["academics-the-arts","math","geometry"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/230063"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":281917,"slug":"geometry-1001-practice-problems-for-dummies-free-online-practice","isbn":"9781118853269","categoryList":["academics-the-arts","math","geometry"],"amazon":{"default":"https://www.amazon.com/gp/product/1118853261/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1118853261/ref=as_li_tl?ie=UTF8&tag=wiley01-20","indigo_ca":"http://www.tkqlhce.com/click-9208661-13710633?url=https://www.chapters.indigo.ca/en-ca/books/product/1118853261-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1118853261/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1118853261/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/geometry-1001-practice-problems-for-dummies-cover-9781118853269-193x255.jpg","width":193,"height":255},"title":"Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p><b data-author-id=\"8986\">Allen Ma</b> and <b data-author-id=\"8987\">Amber Kuang</b> are math teachers at John F. 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Allen has taught geometry for more than 25 years, has coached the math team, and is a former honors math research coordinator. Amber has taught all levels of math, from algebra to calculus, for 20 years.</p> ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8987"}}],"_links":{"self":"https://dummies-api.dummies.com/v2/books/"}},"collections":[],"articleAds":{"footerAd":"<div class=\"du-ad-region row\" id=\"article_page_adhesion_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_adhesion_ad\" data-refreshed=\"false\" \r\n data-target = \"[{"key":"cat","values":["academics-the-arts","math","geometry"]},{"key":"isbn","values":["9781118853269"]}]\" id=\"du-slot-6322135e60c07\"></div></div>","rightAd":"<div class=\"du-ad-region row\" id=\"article_page_right_ad\"><div class=\"du-ad-unit col-md-12\" data-slot-id=\"article_page_right_ad\" data-refreshed=\"false\" \r\n data-target = \"[{"key":"cat","values":["academics-the-arts","math","geometry"]},{"key":"isbn","values":["9781118853269"]}]\" 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You can use the properties of these angles to find missing angles.\nPractice questions\nUse the figures and the given information to solve for the missing angles in the following questions.\n\n \n\nas shown in the following figure.\n\nIf\n\n \n \n\nas shown in the following figure.\n\nIf\n\n \n\nAnswers and explanations\n\n 80 degrees\nWhen two parallel lines are cut by a transversal, corresponding angles are formed. \n\nare corresponding angles, so they're congruent:\n\nThe three angles of \n\nadd up to 180 degrees, so\n\n \n 35 degrees\n\nare supplementary, which means they add up to 180 degrees:\n\nform a straight line, so they also add up to 180 degrees:\n\n \n","item_vector":null},"titleHighlight":null,"descriptionHighlights":null,"headers":null,"categoryList":["academics-the-arts","math","geometry"],"title":"Corresponding Angles in Parallel Lines — Practice Geometry Questions","slug":"corresponding-angles-in-parallel-lines-practice-geometry-questions","articleId":138777},{"objectType":"article","id":138790,"data":{"title":"Alternate Interior and Exterior Angles —Practice Geometry Questions","slug":"alternate-interior-and-exterior-angles-practice-geometry-questions","update_time":"2016-03-26T07:10:45+00:00","object_type":"article","image":null,"breadcrumbs":[{"name":"Academics & The Arts","slug":"academics-the-arts","categoryId":33662},{"name":"Math","slug":"math","categoryId":33720},{"name":"Geometry","slug":"geometry","categoryId":33725}],"description":"When two parallel lines are intersected by a third line (called a transversal), congruent pairs of angles are formed, including alternate interior angles and alternate exterior angles. \nThe following practice questions ask you to use this information to find a missing angle, and then to apply some algebra to calculate a missing variable.\nPractice questions\nUse the diagram and the given information to solve the problem.\n\n\n Parallel lines \n\nare cut by a transversal. If \n\nis represented by\n\nis represented by 4x – 45, find the value of x.\n \n Parallel lines \n\nare cut by a transversal. If \n\nare represented by\n\nrespectively, find the degree measure of \n\n \n\nAnswers and explanations\n\n 20\n\nare alternate interior angles. Alternate interior angles are congruent, so set their measures equal to each other and solve for x:\n\n \n 140 degrees\n\nare alternate exterior angles. Alternate exterior angles are congruent, so set their measures equal to each other and solve for x:\n\nwhich means they add up to 180 degrees. Use this info to solve for \n\n \n","item_vector":null},"titleHighlight":null,"descriptionHighlights":null,"headers":null,"categoryList":["academics-the-arts","math","geometry"],"title":"Alternate Interior and Exterior Angles —Practice Geometry Questions","slug":"alternate-interior-and-exterior-angles-practice-geometry-questions","articleId":138790},{"objectType":"article","id":187736,"data":{"title":"Working with More than One Transversal","slug":"working-with-more-than-one-transversal","update_time":"2016-03-26T20:27:19+00:00","object_type":"article","image":null,"breadcrumbs":[{"name":"Academics & The Arts","slug":"academics-the-arts","categoryId":33662},{"name":"Math","slug":"math","categoryId":33720},{"name":"Geometry","slug":"geometry","categoryId":33725}],"description":"When a parallel-lines-with-transversal drawing contains more than three lines, identifying congruent and supplementary angles can be kind of challenging. The following figure shows you two parallel lines with two transversals.\n\nIf you get a figure that has more than three lines and you want to use any of the transversal ideas, make sure you’re using only three of the lines at a time (two parallel lines and one transversal). If you aren’t using a set of three lines like this, the theorems just don’t work. With the above figure, you can use lines a, b, and c, or you can use lines a, b, and d, but you can’t use both transversals c and d at the same time. Thus, you can’t, for example, conclude anything about angle 1 and angle 6 because angle 1 is on transversal c and angle 6 is on transversal d.\nThe following list shows what you can say about several pairs of angles in the above figure, noting whether you can conclude that they’re congruent or supplementary. As you read through the list, remember the warning about using only two parallel lines and one transversal.\n\n Angle pair 2 and 8 are congruent\nReason: Angle 2 and angle 8 are alternate exterior angles on transversal d\n \n Angle pair 3 and 6 offer no conclusion\nReason: To make angle 3 you need to use transversals, c and d\n \n Angle pair 4 and 5 are congruent\nReason: Angle 4 and angle 5 are alternate exterior angles on c\n \n Angle pair 4 and 6 offer no conclusion\nReason: Angle 4 is on transversal c; angle 6 is on transversal d\n \n Angle pair 2 and 7 is supplementary\nReason: Angle 2 and angle 7 are same-side exterior angles on d\n \n Angle pair 1 and 8 offer no conclusion\nReason: Angle 1 is on transversal c; angle 8 is on transversal d\n \n Angle pair 4 and 8 offer no conclusion\nReason: Angle 4 is on transversal c; angle 8 is on transversal d\n \n\nIf you get a figure with more than one transversal or more than one set of parallel lines, you may want to do the following: Trace the figure from your book to a sheet of paper and then highlight one pair of parallel lines and one transversal. (Or you can just trace the three lines you want to work with.) Then you can use the transversal ideas on the highlighted lines. After that, you can highlight a different group of three lines and work with those.\nOf course, instead of tracing and highlighting, you can just make sure that the two angles you’re analyzing use only three lines (one ray of each angle should be part of the single transversal you’re using, and the other ray of each angle should be part of one of the two parallel lines you’re using).","item_vector":null},"titleHighlight":null,"descriptionHighlights":null,"headers":null,"categoryList":["academics-the-arts","math","geometry"],"title":"Working with More than One Transversal","slug":"working-with-more-than-one-transversal","articleId":187736},{"objectType":"article","id":149723,"data":{"title":"Knowing How Angles, Lines, and Transversals Relate","slug":"knowing-how-angles-lines-and-transversals-relate","update_time":"2016-03-26T11:00:06+00:00","object_type":"article","image":null,"breadcrumbs":[{"name":"Academics & The Arts","slug":"academics-the-arts","categoryId":33662},{"name":"Teaching","slug":"teaching","categoryId":33800},{"name":"Skills Tests","slug":"skills-tests","categoryId":33806},{"name":"Praxis","slug":"praxis","categoryId":33807}],"description":"A transversal is a line that intersects at least two other lines at a different point for each. That situation involves multiple angles and angle relationships.\n\nThe transversal in the diagram is the line that goes down and to the right. The lines intersected by the transversal are the horizontal lines. Several types of angle pairs exist in the scenario:\n\n Alternate interior angles, such as Angle 4 and Angle 5, are on alternate sides of the transversal and are interior to the lines that are intersected.\n \n Alternate exterior angles are on alternate sides of the transversal and are exterior to the lines that are intersected. Angle 2 and Angle 7 make up an alternate exterior angle pair.\n \n Corresponding angles, such as Angle 3 and Angle 7, are on the same side of the transversal and formed by it but are formed by different lines that the transversal intersects. In other words, they are formed exactly the same way except by different intersected (by the transversal) lines.\n \n Consecutive interior angles are pairs that are on the same side of the transversal and interior to the lines intersected by the transversal. Angle 4 and Angle 6 make up a pair of consecutive interior angles.\n \n\nOkay, here are the rules. All pairs of alternate interior angles, alternate exterior angles, and corresponding angles are congruent pairs if the lines the transversal intersects are parallel, in which case each pair of consecutive interior angles are supplementary. That's four rules right there.\nHere are four more. If any of those pairs is congruent or supplementary, the lines the transversal intersects are parallel. For example, if the alternate interior angles 3 and 6 are congruent, the lines the transversal intersects are parallel.\nVertical angles are always congruent, and any two angles that form a linear pair are supplementary. When you know all these rules, you can take the measure of any angle in the diagram and determine the measures of all the other angles as long as the lines intersected by the transversal are parallel.","item_vector":null},"titleHighlight":null,"descriptionHighlights":null,"headers":null,"categoryList":["academics-the-arts","teaching","skills-tests","praxis"],"title":"Knowing How Angles, Lines, and Transversals Relate","slug":"knowing-how-angles-lines-and-transversals-relate","articleId":149723},{"objectType":"article","id":138789,"data":{"title":"Angles That Form Linear Pairs—Practice Geometry Questions","slug":"angles-that-form-linear-pairspractice-geometry-questions","update_time":"2016-03-26T07:10:45+00:00","object_type":"article","image":null,"breadcrumbs":[{"name":"Academics & The Arts","slug":"academics-the-arts","categoryId":33662},{"name":"Math","slug":"math","categoryId":33720},{"name":"Geometry","slug":"geometry","categoryId":33725}],"description":"Angles that form a linear pair combine to form a straight angle. 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Set the sum of \n\nequal to 180 and solve for x:\n\nNow plug in the value of x to solve for \n\n \n","item_vector":null},"titleHighlight":null,"descriptionHighlights":null,"headers":null,"categoryList":["academics-the-arts","math","geometry"],"title":"Angles That Form Linear Pairs—Practice Geometry Questions","slug":"angles-that-form-linear-pairspractice-geometry-questions","articleId":138789}]},"relatedArticlesStatus":"success"},"routeState":{"name":"Article3","path":"/article/academics-the-arts/math/geometry/corresponding-angles-in-parallel-lines-practice-geometry-questions-138777/","hash":"","query":{},"params":{"category1":"academics-the-arts","category2":"math","category3":"geometry","article":"corresponding-angles-in-parallel-lines-practice-geometry-questions-138777"},"fullPath":"/article/academics-the-arts/math/geometry/corresponding-angles-in-parallel-lines-practice-geometry-questions-138777/","meta":{"routeType":"article","breadcrumbInfo":{"suffix":"Articles","baseRoute":"/category/articles"},"prerenderWithAsyncData":true},"from":{"name":null,"path":"/","hash":"","query":{},"params":{},"fullPath":"/","meta":{}}},"dropsState":{"submitEmailResponse":false,"status":"initial"},"profileState":{"auth":{},"userOptions":{},"status":"success"}}

Corresponding Angles in Parallel Lines — Practice Geometry Questions

By: Allen Ma and Amber Kuang and

Updated: 03-26-2016

From The Book: Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)

Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)

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When two parallel lines are intersected by a third line — a transversal — corresponding pairs of angles are formed. You can use the properties of these angles to find missing angles.

Practice questions

Use the figures and the given information to solve for the missing angles in the following questions.

as shown in the following figure.

If
as shown in the following figure.

If

Answers and explanations

80 degrees

When two parallel lines are cut by a transversal, corresponding angles are formed.

are corresponding angles, so they're congruent:

The three angles of

add up to 180 degrees, so
35 degrees

are supplementary, which means they add up to 180 degrees:

form a straight line, so they also add up to 180 degrees:

About This Article

This article is from the book:

Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice) ,

About the book authors:

Allen Ma and Amber Kuang are math teachers at John F. Kennedy High School in Bellmore, New York. Allen, who has taught geometry for 20 years, is the math team coach and a former honors math research coordinator. Amber has taught all levels of mathematics, from algebra to calculus, for the past 14 years.

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