Angle Pair Relationships Worksheet
Explore and identify various angle pair relationships including complementary, supplementary, vertical, adjacent, corresponding, alternate interior, and alternate exterior angles.
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Angle Pair Relationships
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. Two angles whose sum is 90 degrees are called:
Supplementary angles
Complementary angles
Vertical angles
Adjacent angles
2. Which of the following statements is true about vertical angles?
They are always complementary.
They are always supplementary.
They are always congruent.
They share a common side.
3. If two parallel lines are cut by a transversal, then alternate interior angles are .
4. Angles that are adjacent and supplementary form a pair.
5. In the diagram below, lines 'a' and 'b' are parallel, and 't' is a transversal. If ∠1 = 65°, find the measure of ∠8.
6. An angle measures 40 degrees. What is the measure of its complementary angle? What is the measure of its supplementary angle?
7. Corresponding angles are always congruent when two parallel lines are intersected by a transversal.
True
False
8. Adjacent angles always share a common vertex and a common side.
True
False
Match each angle pair relationship with its definition.
9. Vertical Angles
a. Angles on opposite sides of the transversal and between the parallel lines.
10. Alternate Exterior Angles
b. Angles that are opposite each other when two lines intersect.
11. Corresponding Angles
c. Angles in the same relative position at each intersection.