Grade 11 Angle Relationships Worksheet
Explore angle relationships including complementary, supplementary, vertical, and angles formed by transversals intersecting parallel lines. This worksheet is designed for Grade 11 math students.
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Grade 11: Angle Relationships
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Read each question carefully and answer to the best of your ability. Show all your work where applicable. Diagrams are not necessarily to scale.
1. If two angles are supplementary and one angle measures 75 degrees, what is the measure of the other angle?
15 degrees
90 degrees
105 degrees
180 degrees
2. In the diagram below, lines L1 and L2 are parallel, and line T is a transversal. Which pair of angles are alternate interior angles?
∠1 and ∠5
∠3 and ∠6
∠4 and ∠5
∠2 and ∠7
3. Two angles whose sum is 90 degrees are called angles.
4. When two straight lines intersect, the angles opposite each other are called angles and are always .
5. In the figure below, if m∠ABC = 130°, and m∠ABD = (3x + 10)°, and m∠DBC = (2x - 5)°, find the value of x and the measure of ∠DBC.
6. Corresponding angles are always congruent when two parallel lines are cut by a transversal.
True
False
7. A linear pair of angles are always complementary.
True
False
Match each angle relationship with its definition.
8. Complementary Angles
a. Angles that add up to 180°
9. Supplementary Angles
b. Angles that add up to 90°
10. Vertical Angles
c. Non-adjacent angles formed by intersecting lines that are congruent