Calculating Complementary Angles in Everyday Life

1. Sarah is designing a triangular garden. One angle measures 30 degrees. If the other two angles are complementary, what are their measures?

• 75 degrees and 15 degrees

• 60 degrees and 90 degrees

• 30 degrees and 60 degrees

• 45 degrees and 45 degrees

2. A right angle is formed by two intersecting lines. If one of the angles measures 40 degrees, what is the measure of the other angle?

• 70 degrees

• 90 degrees

• 30 degrees

• 50 degrees

3. In a classroom, two students are sitting at a table. If one student is facing a wall at an angle of 70 degrees, what is the angle between the wall and the other student if they are complementary?

• 50 degrees

• 90 degrees

• 20 degrees

• 30 degrees

4. A clock shows the hour hand at 2 and the minute hand at 12. What is the angle between the two hands? Are they complementary?

• 90 degrees, not complementary

• 30 degrees, complementary

• 60 degrees, not complementary

• 120 degrees, complementary

5. A park has a walking path that makes a 90-degree turn. If one section of the path is 50 degrees, what is the measure of the angle of the other section?

• 30 degrees

• 40 degrees

• 90 degrees

• 60 degrees

6. During a game, a player throws a ball at an angle of 45 degrees. If the angle of elevation to the target is complementary, what is the angle of elevation?

• 90 degrees

• 30 degrees

• 45 degrees

• 60 degrees

7. A triangle has one angle measuring 50 degrees. If the other two angles are complementary, what are their measures?

• 45 degrees and 45 degrees

• 30 degrees and 60 degrees

• 40 degrees and 50 degrees

• 70 degrees and 80 degrees

8. In a right triangle, one angle measures 30 degrees. What is the measure of the other non-right angle?

• 60 degrees

• 75 degrees

• 45 degrees

• 90 degrees

9. A ramp is built at a 60-degree angle. If the angle of elevation to the top of the ramp is complementary, what is the angle of elevation?

• 45 degrees

• 75 degrees

• 15 degrees

• 30 degrees

10. A pair of scissors forms two angles when opened. If one angle measures 110 degrees, what is the measure of the other angle?

• 100 degrees

• 60 degrees

• 90 degrees

• 70 degrees