Angle Pairs Worksheet
A Grade 12 math worksheet focusing on identifying and calculating various angle pairs, including complementary, supplementary, vertical, adjacent, corresponding, alternate interior, and alternate exterior angles.
Includes
Standards
Topics
Angle Pairs Worksheet
Name:
Date:
Score:
Read each question carefully and provide the best answer. Show all your work for calculation problems.
1. If two angles are supplementary and one angle measures 75°, what is the measure of the other angle?
15°
105°
90°
180°
2. Which of the following pairs of angles are always congruent?
Adjacent angles
Complementary angles
Vertical angles
Linear pair angles
3. Two angles are if their sum is 90 degrees.
4. When two parallel lines are intersected by a transversal, angles are on opposite sides of the transversal and between the parallel lines.
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 't' is a transversal. Identify one pair of corresponding angles and one pair of alternate exterior angles.
Corresponding Angles:
Alternate Exterior Angles:
7. If ∠A and ∠B form a linear pair, and m∠A = (3x + 10)° and m∠B = (2x + 5)°, find the value of x and the measure of each angle.
8. Vertical angles are always complementary.
True
False
9. Alternate interior angles are always congruent when formed by parallel lines and a transversal.
True
False
Match each angle pair with its definition.
10. Complementary Angles
a. Two angles whose sum is 180°
11. Supplementary Angles
b. Two non-adjacent angles formed by two intersecting lines
12. Vertical Angles
c. Two angles whose sum is 90°
13. Alternate Interior Angles
d. Angles on opposite sides of the transversal and between parallel lines