{"appState":{"pageLoadApiCallsStatus":true},"articleState":{"article":{"headers":{"creationTime":"2017-01-28T00:49:00+00:00","modifiedTime":"2017-01-28T00:49:00+00:00","timestamp":"2022-09-14T18:17:08+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":"Study Skills & Test Prep","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33772"},"slug":"study-skills-test-prep","categoryId":33772},{"name":"SAT","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33794"},"slug":"sat","categoryId":33794}],"title":"SAT Practice Questions: Working with Supplementary Angles","strippedTitle":"sat practice questions: working with supplementary angles","slug":"sat-practice-questions-working-supplementary-angles","canonicalUrl":"","seo":{"metaDescription":"When you run into a math question on the SAT where you need to work with supplementary angles, the special number to keep in mind is 180: this is how much suppl","noIndex":0,"noFollow":0},"content":"When you run into a math question on the SAT where you need to work with supplementary angles, the special number to keep in mind is 180: this is how much supplementary angles total when you add them together.\r\n\r\nIn the following practice questions, you're asked to combine this property of supplementary angles with some algebra to get your answers.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li><strong>In the drawing, <em>l</em><sub>1</sub> is parallel to <em>l</em><sub>2</sub>. What is the value of <em>a</em>?</strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0307.gif\"><img class=\"alignnone wp-image-232659 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0307.gif\" alt=\"SAT1001_valuea\" width=\"340\" height=\"223\" /></a>\r\n<strong>A.</strong> 60 degrees\r\n<strong>B.</strong> 70 degrees\r\n<strong>C.</strong> 80 degrees\r\n<strong>D.</strong> 90 degrees</li>\r\n\t<li><strong>In the following image, the angles are supplementary. What is the value of <em>k</em>?</strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0417.gif\"><img class=\"alignnone wp-image-232661 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0417.gif\" alt=\"SAT1001_valuek\" width=\"388\" height=\"143\" /></a>\r\n<strong>A.</strong> 17\r\n<strong>B.</strong> 18\r\n<strong>C.</strong> 19\r\n<strong>D.</strong> 20</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li><strong>The correct answer is Choice (D).</strong>\r\nIf <em>l</em><sub>1</sub> is parallel to <em>l</em><sub>2</sub>, all the acute angles are equivalent and all the obtuse angles are equivalent. This makes the angles marked <em>a</em> + <em>b</em> and <em>a</em> – <em>b</em> supplementary, meaning they total 180 degrees. Set up the equation and solve for <em>a</em>:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0501.gif\"><img class=\"alignnone size-full wp-image-232656\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0501.gif\" alt=\"SAT1001_eq0501\" width=\"155\" height=\"99\" /></a></li>\r\n\t<li><strong>The correct answer is Choice (C).</strong>\r\nSupplementary angles total 180 degrees. Add the angles and set them equal to 180:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0502.gif\"><img class=\"alignnone size-full wp-image-232657\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0502.gif\" alt=\"SAT1001_eq0502\" width=\"145\" height=\"91\" /></a></li>\r\n</ol>","description":"When you run into a math question on the SAT where you need to work with supplementary angles, the special number to keep in mind is 180: this is how much supplementary angles total when you add them together.\r\n\r\nIn the following practice questions, you're asked to combine this property of supplementary angles with some algebra to get your answers.\r\n<h2 id=\"tab1\" >Practice questions</h2>\r\n<ol>\r\n\t<li><strong>In the drawing, <em>l</em><sub>1</sub> is parallel to <em>l</em><sub>2</sub>. What is the value of <em>a</em>?</strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0307.gif\"><img class=\"alignnone wp-image-232659 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0307.gif\" alt=\"SAT1001_valuea\" width=\"340\" height=\"223\" /></a>\r\n<strong>A.</strong> 60 degrees\r\n<strong>B.</strong> 70 degrees\r\n<strong>C.</strong> 80 degrees\r\n<strong>D.</strong> 90 degrees</li>\r\n\t<li><strong>In the following image, the angles are supplementary. What is the value of <em>k</em>?</strong>\r\n<a href=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0417.gif\"><img class=\"alignnone wp-image-232661 size-full\" src=\"https://www.dummies.com/wp-content/uploads/9781119215844-fg0417.gif\" alt=\"SAT1001_valuek\" width=\"388\" height=\"143\" /></a>\r\n<strong>A.</strong> 17\r\n<strong>B.</strong> 18\r\n<strong>C.</strong> 19\r\n<strong>D.</strong> 20</li>\r\n</ol>\r\n<h2 id=\"tab2\" >Answers and explanations</h2>\r\n<ol>\r\n\t<li><strong>The correct answer is Choice (D).</strong>\r\nIf <em>l</em><sub>1</sub> is parallel to <em>l</em><sub>2</sub>, all the acute angles are equivalent and all the obtuse angles are equivalent. This makes the angles marked <em>a</em> + <em>b</em> and <em>a</em> – <em>b</em> supplementary, meaning they total 180 degrees. Set up the equation and solve for <em>a</em>:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0501.gif\"><img class=\"alignnone size-full wp-image-232656\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0501.gif\" alt=\"SAT1001_eq0501\" width=\"155\" height=\"99\" /></a></li>\r\n\t<li><strong>The correct answer is Choice (C).</strong>\r\nSupplementary angles total 180 degrees. Add the angles and set them equal to 180:\r\n<a href=\"https://www.dummies.com/wp-content/uploads/SAT1001_0502.gif\"><img class=\"alignnone size-full wp-image-232657\" src=\"https://www.dummies.com/wp-content/uploads/SAT1001_0502.gif\" alt=\"SAT1001_eq0502\" width=\"145\" height=\"91\" /></a></li>\r\n</ol>","blurb":"","authors":[{"authorId":8978,"name":"Ron Woldoff","slug":"ron-woldoff","description":" <p><b>Ron Woldoff is founder of National Test Prep, where he helps students succeed on the GMAT, GRE, SAT, ACT, and PSAT. He’s the author of numerous Dummies test prep titles, including <i>GRE 2022 For Dummies</i> and <i>SAT: 1,001 Practice Questions For Dummies.</i></p> ","hasArticle":false,"_links":{"self":"https://dummies-api.dummies.com/v2/authors/8978"}}],"primaryCategoryTaxonomy":{"categoryId":33794,"title":"SAT","slug":"sat","_links":{"self":"https://dummies-api.dummies.com/v2/categories/33794"}},"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":232868,"title":"SAT Writing Practice Problems: Parallel Structure, Agreement, and Tense","slug":"sat-writing-practice-problems-parallel-structure-agreement-tense","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232868"}},{"articleId":232865,"title":"SAT Writing Practice Problems: Logic and Organization","slug":"sat-writing-practice-problems-logic-organization","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232865"}},{"articleId":232862,"title":"SAT Writing Practice Problems: Vocabulary in Context","slug":"sat-writing-practice-problems-vocabulary-context","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232862"}},{"articleId":232859,"title":"SAT Writing Practice Problems: Grammar and Punctuation","slug":"sat-writing-practice-problems-grammar-punctuation","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232859"}},{"articleId":232855,"title":"SAT Reading Practice Problems: Interpreting Visual Elements","slug":"sat-reading-practice-problems-interpreting-visual-elements","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/232855"}}],"fromCategory":[{"articleId":293029,"title":"SAT Prep 2023 For Dummies Cheat Sheet","slug":"sat-prep-2023-for-dummies-cheat-sheet","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/293029"}},{"articleId":277844,"title":"10 Ways to Get the Most from the Practice SATs","slug":"10-ways-to-get-the-most-from-the-practice-sats","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277844"}},{"articleId":277839,"title":"10 Mistakes You Won’t Make on the SAT","slug":"10-mistakes-you-wont-make-on-the-sat","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277839"}},{"articleId":277836,"title":"Strategies for the SAT Reading Test","slug":"strategies-for-the-sat-reading-test","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277836"}},{"articleId":277833,"title":"Simple Strategies for Taking the SAT Writing and Language Test","slug":"simple-strategies-for-taking-the-sat-writing-and-language-test","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"_links":{"self":"https://dummies-api.dummies.com/v2/articles/277833"}}]},"hasRelatedBookFromSearch":false,"relatedBook":{"bookId":282560,"slug":"sat-1001-practice-questions-for-dummies","isbn":"9781119215844","categoryList":["academics-the-arts","study-skills-test-prep","sat"],"amazon":{"default":"https://www.amazon.com/gp/product/1119215846/ref=as_li_tl?ie=UTF8&tag=wiley01-20","ca":"https://www.amazon.ca/gp/product/1119215846/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/1119215846-item.html&cjsku=978111945484","gb":"https://www.amazon.co.uk/gp/product/1119215846/ref=as_li_tl?ie=UTF8&tag=wiley01-20","de":"https://www.amazon.de/gp/product/1119215846/ref=as_li_tl?ie=UTF8&tag=wiley01-20"},"image":{"src":"https://www.dummies.com/wp-content/uploads/sat-1001-practice-questions-for-dummies-cover-9781119215844-202x255.jpg","width":202,"height":255},"title":"SAT","testBankPinActivationLink":"","bookOutOfPrint":false,"authorsInfo":"<p>Ron Woldoff is the founder of National Test Prep, where he helps students prepare for the SAT, GMAT, and GRE. 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SAT Practice Questions: Working with Supplementary Angles

By: Ron Woldoff and

Updated: 01-28-2017

From The Book: SAT

SAT

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When you run into a math question on the SAT where you need to work with supplementary angles, the special number to keep in mind is 180: this is how much supplementary angles total when you add them together.

In the following practice questions, you're asked to combine this property of supplementary angles with some algebra to get your answers.

Practice questions

In the drawing, l₁ is parallel to l₂. What is the value of a?
A. 60 degrees B. 70 degrees C. 80 degrees D. 90 degrees
In the following image, the angles are supplementary. What is the value of k?
A. 17 B. 18 C. 19 D. 20

Answers and explanations

The correct answer is Choice (D). If l₁ is parallel to l₂, all the acute angles are equivalent and all the obtuse angles are equivalent. This makes the angles marked a + b and a – b supplementary, meaning they total 180 degrees. Set up the equation and solve for a:
The correct answer is Choice (C). Supplementary angles total 180 degrees. Add the angles and set them equal to 180:

About This Article

This article is from the book:

SAT ,

About the book author:

Ron Woldoff is the founder of National Test Prep, where he helps students prepare for the SAT, GMAT, and GRE. He is the author of several books, including GRE For Dummies and 1,001 GRE Practice Questions For Dummies.

This article can be found in the category:

SAT ,