Angle Relationships Worksheet

Angle Relationships Worksheet

Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. If two angles are complementary, their sum is:

2. Which of the following pairs of angles are supplementary?

3. Two angles that share a common vertex and a common side but do not overlap are called   angles.

4. When two straight lines intersect, the angles opposite each other at the intersection are called   angles.

5. Vertical angles are always congruent.

6. Adjacent angles must be complementary or supplementary.

7. An angle measures 58°. What is the measure of its complementary angle?

8. Two angles form a linear pair. If one angle measures 115°, what is the measure of the other angle?

Use the diagram below to answer questions 9 and 10.

9. Name a pair of vertical angles.

10. Name a pair of adjacent angles that are supplementary.

11. Angle (2x + 10)° and angle (3x - 20)° are complementary. Find the measure of each angle.

12. Two intersecting lines form angles. If one angle is 4y° and its vertical angle is (y + 60)°, find the value of y and the measure of each vertical angle.