Name Block Date

ANGLE RELATIONSHIPS

1. Fill in the missing measures in the chart below.

Measure of angle Measure of angle’s complement

Measure of angle’s supplement

30°80°45°

100°70°

130°2°

90°2. ∠1 and ∠2 are vertical angles. If the m∠2 is 25°, find the m∠1.

3. ∠X and ∠Y are supplementary. The measurement of ∠X is twice as big as the measurement of ∠Y. Find the m∠X and the m∠Y.

4. ∠P and ∠R are congruent and complementary. Find the m∠R.

5. The complement of an angle is three times as big as the angle. Find the measure of the complement.

Use this diagram to answer number six and eight.

4 1 3 2

6. If ∠2 is 25° greater than ∠3, find the measurements of ∠2 and ∠3.

7. ∠A and ∠B are complementary angles. The m∠B is five times greater than the m∠A, find m∠B.

8. If m∠2 is twice as big as the m∠3, find m∠1 and m∠4.