Angle Relationships Worksheet
Explore and identify various angle relationships including complementary, supplementary, vertical, and angles formed by parallel lines and transversals.
Includes
Standards
Topics
Angle Relationships
Name:
Date:
Score:
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 degrees
90 degrees
180 degrees
360 degrees
2. Which of the following is true about vertical angles?
They are always complementary.
They are always supplementary.
They are always congruent.
They are adjacent angles.
3. Angles that are in the same relative position at each intersection when a transversal crosses two parallel lines are called angles.
4. If two angles form a linear pair, then they are .
5. In the diagram below, lines l and m are parallel, and t is a transversal. If angle 1 measures 70 degrees, find the measure of angle 5. Justify your answer.
6. Alternate interior angles are always supplementary.
True
False
7. The sum of the angles in a triangle is always 180 degrees.
True
False
Match each angle relationship with its definition.
8. Complementary Angles
a. Angles on opposite sides of the transversal and between the parallel lines.
9. Supplementary Angles
b. Two angles whose sum is 90 degrees.
10. Alternate Interior Angles
c. Two angles whose sum is 180 degrees.
11. Corresponding Angles
d. Angles in the same relative position at each intersection.
12. Find the value of x in the diagram below, given that the two angles are supplementary.