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
from both sides. ; they are complementary angles
These angles are supplementary, so
. What is the measure of ?
are vertical angles, so they are equal in measure. and are also vertical angles.
is . Use this to help you find and .
Use part (a) to help you solve this problem.