Angle Pairs Worksheet
This worksheet focuses on identifying and calculating various angle pairs, including complementary, supplementary, vertical, and adjacent angles, suitable for Grade 10 Geometry students.
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Angle Pairs Worksheet
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Read each question carefully and provide the best answer. Show all your work for calculation problems.
1. Two angles are supplementary if their sum is:
90 degrees
180 degrees
360 degrees
45 degrees
2. Which of the following describes vertical angles?
Angles that share a common vertex and side.
Angles that add up to 90 degrees.
Angles opposite each other when two lines intersect.
Angles that are next to each other on a straight line.
3. Two angles are if their sum is 90 degrees.
4. angles share a common vertex and a common side, but no common interior points.
5. In the diagram below, identify a pair of vertical angles and a pair of supplementary angles.
Vertical Angles:
Supplementary Angles:
6. If ∠A and ∠B are complementary angles and m∠A = 35°, what is m∠B?
7. Adjacent angles always form a linear pair.
True
False
8. Vertical angles are congruent.
True
False
9. Two angles form a linear pair. The measure of one angle is (3x + 10)° and the measure of the other angle is (2x + 20)°. Find the value of x and the measure of each angle.
10. Angle P and Angle Q are complementary. If m∠P = (4y - 5)° and m∠Q = (y + 10)°, find the value of y and the measure of each angle.