Angle Pair Relationships Worksheet
Grade 12 Math worksheet focusing on angle pair relationships including complementary, supplementary, vertical, adjacent, corresponding, alternate interior, and alternate exterior angles.
Includes
Standards
Topics
Angle Pair Relationships
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Read each question carefully and provide the best answer. Show all your work for full credit.
1. If two angles are supplementary and one angle measures 75°, what is the measure of the other angle?
15°
90°
105°
180°
2. Which of the following pairs of angles are always congruent?
Complementary angles
Supplementary angles
Vertical angles
Adjacent angles
3. Two angles are if their sum is 90 degrees.
4. When two parallel lines are cut by a transversal, angles are congruent.
5. Angles that share a common vertex and a common side but no common interior points are called angles.
6. In the diagram below, lines 'a' and 'b' are parallel, and line 't' is a transversal. If ∠1 = 110°, find the measure of ∠8. Justify your answer.
7. Define what vertical angles are and explain their key property.
8. All adjacent angles are complementary.
True
False
9. Alternate interior angles are always congruent when two lines are cut by a transversal.
True
False
Match each angle pair relationship with its definition.
10. Complementary Angles
a. Angles that are opposite each other when two lines intersect.
11. Supplementary Angles
b. Two angles whose sum is 180 degrees.
12. Vertical Angles
c. Two angles whose sum is 90 degrees.
13. Two angles form a linear pair. The measure of one angle is (3x + 15)° and the other is (2x - 5)°. Find the value of x and the measure of each angle.