1. Supplementary, x = 60
2. Vertical, x = 119
3. Complementary, x = 35
4. Supplementary, x = 140
5. Adjacent, x = 10
6. Supplementary, x = 82
7. Complementary, x = 68
8. Vertical, x = 59
9. Supplementary, x = 174
10. Angle 1 = 137°, Angle 2 = 43°, Angle 3 = 137°. Reasoning: Angle 1 and the 43° angle are supplementary (sum to 180°). Angle 2 is vertical to the 43° angle, so they are equal. Angle 3 is vertical to Angle 1, so they are equal.
11. a) Vertical: ∠a and ∠c, ∠b and ∠e
b) Complementary: ∠c and ∠b
c) Supplementary: ∠c and ∠d
d) All adjacent: ∠a and ∠b, ∠b and ∠c, ∠c and ∠d, ∠d and ∠e, ∠e and ∠a
e) If angle c is 30°: ∠a = 30°, ∠b = 60°, ∠c = 30°, ∠d = 150°, ∠e = 60°
Parent Tip: Review the logic above to help your child master the concept of angle classification worksheet.