Angle Relationships Worksheet
Explore and identify complementary, supplementary, vertical, and adjacent angles through various exercises.
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Angle Relationships Worksheet
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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:
45 degrees
90 degrees
180 degrees
360 degrees
2. Which of the following pairs of angles are supplementary?
30° and 60°
75° and 105°
90° and 90°
Both b and c
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.
True
False
6. Adjacent angles must be complementary or supplementary.
True
False
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.