1. Chapter 1.5 Notes: Describe Angle Pair Relationships
Goal: You will use special angle relationships to find angle measures.

2. Two angles are complementary angles if the sum of their measures is 90o.
Each angle is the complement of the other.
Two angles are supplementary angles if the sum of their measures is 180o.
Each angle is the supplement of the other.

3. Complementary angles and supplementary angles can be adjacent angles or nonadjacent angles.
Adjacent angles are two angles that share a common vertex and side, but have no common interior points.

4. Ex.1: In the figure, name a pair of complementary angles, a pair of supplementary angles, and a pair of adjacent angles. Ex.2: In the figure, name a pair of complementary angles, a pair of supplementary angles, and a pair of adjacent angles.

5. Ex. 3: a. Given that is a complement of and , find. b
Ex.3: a. Given that is a complement of and , find . b. Given that is a supplement of and , find .

6. Ex.4: When viewed from the side, the frame of a ball-return net forms a pair of supplementary angles with the ground. Find and

7. Ex. 5: and are complementary angles
Ex.5: and are complementary angles. Find the measures of the angles if and .

8. Ex.6: Two roads intersect to form supplementary angles, and . Find and .

9. Angle Pairs:
Two adjacent angles are a linear pair if their noncommon sides are opposite rays.
The angles in a linear pair are supplementary angles.
Two angles are vertical angles if their sides form two pairs of opposite rays.

10. Ex.7: Identify all of the linear pairs and all of the vertical angles in the figure below. Ex.8: Two angles form a linear pair. The measure of one angle is 5 times the measure of the other. Find the measure of each angle.

11. Ex. 9: The measure of an angle is twice the measure of its complement
Ex.9: The measure of an angle is twice the measure of its complement. Find the measure of each angle. Ex.10: Two angles form a linear pair. The measure of one angle is 3 times the measure of the other angle. Find the measure of each angle. Ex.11: Two angles form a linear pair. The measure of one angle is 5o more than the other angle. Find the measure of each angle.