Angle Relationships Worksheet
This worksheet focuses on understanding and applying various angle relationships including complementary, supplementary, vertical, corresponding, alternate interior, and alternate exterior angles.
Includes
Standards
Topics
Angle Relationships
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Two angles are complementary if their sum is:
45°
90°
180°
360°
2. If two parallel lines are cut by a transversal, then alternate interior angles are:
Complementary
Supplementary
Congruent
Always 90°
3. Angles that are opposite each other when two lines intersect are called angles.
4. If two angles sum to 180°, they are angles.
5. In the diagram below, lines 'a' and 'b' are parallel, and line 't' is a transversal. If ∠1 = 110°, find the measure of ∠5.
6. An angle measures 3x + 10 degrees. Its supplementary angle measures 2x - 5 degrees. Find the value of x.
7. Vertical angles are always congruent.
True
False
8. Corresponding angles are always supplementary.
True
False
Match the angle relationship with its definition.
9. Complementary Angles
a. Angles on the same side of the transversal and in corresponding positions.
10. Supplementary Angles
b. Two angles whose sum is 90°.
11. Vertical Angles
c. Two angles whose sum is 180°.
12. Corresponding Angles
d. Angles opposite each other when two lines intersect.