### Home > CC2 > Chapter 9 > Lesson 9.1.2 > Problem 9-34

9-34.

For each diagram below, identify each set of angles as complementary, supplementary, or vertical. Then use what you know about the properties of angles to find the measure of each angle labeled with a variable.

Write an equation relating

and .

Subtract

from both sides. ; they are complementary angles

These angles are supplementary, so

. What is the measure of ?

*e*andare vertical angles, so they are equal in measure. andare also vertical angles.Angle

is. Use this to help you find and.

Use part (a) to help you solve this problem.