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!
