A free printable worksheet that pairs with the Bank Shot: Angle Golf game. The worksheet prints first, and the answer key prints on its own page after it, so you can leave it off. To make a PDF, click Print and choose "Save as PDF."

Complementary and Supplementary Angles

Grade 7 · CCSS 7.G.B.5 · Pairs with the Bank Shot: Angle Golf game

Name

Date

Complementary angles add to 90° (they make a right angle, often marked with a small box). Supplementary angles add to 180° (they make a straight line). To find the missing angle, subtract the one you know.

Part A: Complementary angles

? = °

3. The complement of 80°

= °

4. The complement of 47°

= °

Part B: Supplementary angles

? = °

7. The supplement of 160°

= °

8. The supplement of 91°

= °

Part C: Angles given as expressions (Hole-In-One Hero)

9. The wall angle is (2x + 10)° with x = 25. Find its complement.

? = °

10. The wall angle is (3x − 5)° with x = 20. Find its supplement.

? = °

Part D: Equations and reasoning

11. An angle and its complement differ by 20°. Find both angles.

angles:

12. An angle is 4 times its supplement. Find both angles.

angles:

13. Can an angle of 110° have a complement? Explain.

14. Find the mistake. Chris said the supplement of 75° is 15°. What went wrong? What's the right answer?

Correct: °

Answer Key: Complementary and Supplementary Angles

For the teacher

90 − 35 = 55°
90 − 62 = 28°
10°
43°
180 − 128 = 52°
180 − 75 = 105°
20°
89°
2(25) + 10 = 60; 90 − 60 = 30°
3(20) − 5 = 55; 180 − 55 = 125°
x + (x + 20) = 90, 2x = 70 → 35° and 55°
x + 4x = 180, x = 36 → 36° and 144°
No. Complementary angles add to 90°, and 110° is already more than 90°.
Chris subtracted from 90° (the complement). Supplementary angles add to 180°: 105°

In the game, an answer that's off by 10° sends the ball 10° off course, so precision shows up right on the green. Hole-In-One Hero mode uses expressions like the ones in Part C.