Mastering Angle Relationships: Solve Real-Life Problems

1. Two angles are complementary. If one angle measures 35 degrees, what is the measure of the other angle?

• 55 degrees

• 45 degrees

• 90 degrees

• 70 degrees

2. A pair of adjacent angles form a straight line. If one angle measures 120 degrees, what is the measure of the other angle?

• 90 degrees

• 60 degrees

• 45 degrees

• 30 degrees

3. In a triangle, one angle is 50 degrees and another is 60 degrees. What is the measure of the third angle, and are any of the angles complementary?

• The third angle is 60 degrees, and two angles are complementary.

• The third angle is 70 degrees, and none of the angles are complementary.

• The third angle is 80 degrees, and one angle is complementary.

• The third angle is 90 degrees, and one angle is complementary.

4. Two vertical angles are equal. If one angle measures 75 degrees, what is the measure of the other angle?

• 75 degrees

• 60 degrees

• 45 degrees

• 90 degrees

5. A right angle is formed by two intersecting lines. If one angle measures 30 degrees, what is the measure of the adjacent angle?

• 60 degrees

• 30 degrees

• 90 degrees

• 45 degrees

6. If two angles are supplementary and one angle measures 90 degrees, what is the measure of the other angle?

• 45 degrees

• 60 degrees

• 180 degrees

• 90 degrees

7. A pair of complementary angles are represented as (x) and (2x). If the sum of the angles is 90 degrees, what is the value of x?

• 45

• 15

• 60

• 30

8. Two adjacent angles are supplementary. If one angle measures 45 degrees, what is the measure of the other angle?

• 120 degrees

• 135 degrees

• 90 degrees

• 150 degrees

9. In a pair of vertical angles, if one angle measures 40 degrees, what is the measure of the other angle?

• 40 degrees

• 50 degrees

• 30 degrees

• 90 degrees

10. A straight line is divided into two angles, one measuring 110 degrees. What is the measure of the adjacent angle?

• 60 degrees

• 90 degrees

• 100 degrees

• 70 degrees