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,
![image0.png](https://www.dummies.com/wp-content/uploads/501206.image0.png)
at E. In the following questions, fill in the blank to make the statement true.
![image1.png](https://www.dummies.com/wp-content/uploads/501207.image1.png)
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