1. EXAMPLE 1 Finding an Angle Measure 1 and 2 are complementary, and m 2 = 32. Find m 1. SOLUTION m 1+ m 2 = 90 32m 1+= 90 m 1 = 58 Definition of complementary angles Subtract 32 from each side. Substitute 32 for m 2.

2. GUIDED PRACTICE for Example 1 Tell whether 1 and 2 are complementary, supplementary, or neither. 1. m 1 = 79 m 2 = 101 SOLUTION m 1+ m 2 = 79° + 101° ANSWER Hence, the angles are supplementary. = 180

3. GUIDED PRACTICE for Example 1 Tell whether 1 and 2 are complementary, supplementary, or neither. 2. m 1 = 64 m 1 = 36 SOLUTION m 1+ m 2 = 100° = 64 + 36 ANSWER Hence, 1 and 2 are neither complementary nor supplementary.

4. GUIDED PRACTICE for Example 1 Tell whether 1 and 2 are complementary, supplementary, or neither. 3. m 1 = 52 m 1 = 38 SOLUTION m 1+ m 2 = 52 + 38= 90 ANSWER Hence, 1 and 2 are complementary.

5. GUIDED PRACTICE for Example 1 Tell whether 1 and 2 are complementary, supplementary, or neither. 4. m 1 = 44 m 1 = 46 SOLUTION m 1+ m 2 = 90 ANSWER Hence, 1 and 2 are complementary. = 44 + 46

6. GUIDED PRACTICE for Example 1 Tell whether 1 and 2 are complementary, supplementary, or neither. 5. m 1 = 53 m 1 = 47 SOLUTION m 1+ m 2 = 100 = 53 + 47 ANSWER Hence, 1 and 2 are neither complementary nor supplementary.

7. GUIDED PRACTICE for Example 1 Tell whether 1 and 2 are complementary, supplementary, or neither. 6. m 1 = 95 m 1 = 85 SOLUTION m 1+ m 2 = 180 = 95 + 85 ANSWER Hence, the angles are supplementary.