Geometry: 1,001 Practice Problems For Dummies (+ Free Online Practice)
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Angles that form a linear pair combine to form a straight angle. (A straight angle measures 180 degrees.) The following practice questions ask you to solve problems based on linear pairs.

Practice questions

In the following figure,


at E. In the following questions, fill in the blank to make the statement true.

  1. If you know that


    are represented by 2a, 2a + b, and 3a – 20, respectively then b = ———?

  2. If you know that


Answers and explanations

  1. 20

    Start with the given information:


    form a linear pair, which means their sum is 180 degrees. Set up the following equation and solve for a:


    Plug in the value of a to find


    because they’re vertical angles. Set them equal to each other, plug in the value of a, and solve for b:

  2. 124 degrees

    Angles that form a linear pair add up to 180 degrees. Set the sum of


    equal to 180 and solve for x:


    Now plug in the value of x to solve for


About This Article

This article is from the book:

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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