Grade 9 Angle Relationships Worksheet
This worksheet covers various angle relationships including complementary, supplementary, vertical, and angles formed by parallel lines and transversals, suitable for Grade 9 math students.
Includes
Standards
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. What is the relationship between angle A and angle B if they add up to 90 degrees?
Supplementary angles
Complementary angles
Vertical angles
Linear pair
2. If two parallel lines are cut by a transversal, which of the following angle pairs are NOT always congruent?
Alternate interior angles
Corresponding angles
Consecutive interior angles
Vertical angles
3. A linear pair of angles always adds up to degrees.
4. Angles that are opposite each other when two lines intersect are called angles.
5. All adjacent angles are complementary or supplementary.
True
False
6. In the diagram below, lines 'a' and 'b' are parallel, and 't' is a transversal. If angle 1 measures 70 degrees, what is the measure of angle 5? Explain your reasoning.
7. Two angles are supplementary. If one angle measures 3x degrees and the other measures (2x + 10) degrees, find the value of x and the measure of each angle.
Match the angle relationship with its definition.
8. Complementary Angles
a. Two angles whose sum is 180 degrees.
9. Supplementary Angles
b. Angles that share a common vertex and a common side.
10. Adjacent Angles
c. Two angles whose sum is 90 degrees.
11. Vertical Angles
d. Non-adjacent angles formed by two intersecting lines that are congruent.