Question

Complementary and Supplementary Angles

Answer 1

Answer: See explanation

Step-by-step explanation:

1. Complementary (adds up to 90°)

2. Neither

3. Supplementary (ads up to 180°)

4. Adds up to 90° since its complementary

22 + 4x = 90

Subtract 22 from both sides

4x = 68

Divide both sides by 4

x = 17

5. Adds up to 90° since its complementary

65 + x + 2 = 90

x + 67 = 90

Subtract both sides 67

x = 23

6. Adds up to 90° since its complementary

43 + x - 7 = 90

x + 36 = 90

Subtract both sides by 36

x = 54

7. Adds up to 180° since its supplementary

29 + x - 5 = 180

x + 24 = 180

Subtract both sides by 24

x = 156

8. Adds up to 180° since its supplementary

110 + 7x = 180

Subtract both sides by 110

7x = 70

Divide both sides by 7

x = 10

9. Adds up to 180° since its supplementary

72 + x + 4 = 180

x + 76 = 180

Subtract both sides by 76

x = 104

10. Adds up to 90° since its complementary

49 + x + 3 = 90

x + 52 = 90

Subtract both sides by 52

x = 38

11. Adds up to 180° since its supplementary

92 + x + 78 = 180

x + 170 = 180

Subtract both sides by 170

x = 10

12. Adds up to 180° since its supplementary

19 + x - 50 = 180

x - 31 = 180

Add 31 to both sides

x = 211

13. Supplementary angles add up to 180°

∠C + ∠D = 180

∠C + 45 = 180

Subtract both sides by 45

∠C = 135°

Hope I helped!