Angles That Form Linear Pairs—Practice Geometry Questions
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.

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

If you know that
Answers and explanations

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:

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