Answer:
- value of x = 15
- m∠A = 123°
- m∠B = 57°
- value of y = 12
- m∠C = 113°
- m∠D = 113°
- m∠E = 67°
Explanation:
3x + 12 = 5x - 18 (alternate exterior angles)
5x - 3x = 12 + 18
2x = 30
x = 15
m∠A + (3x+12) = 180 (supplementary angles)
m∠A = 180 - (3×15 + 12)
= 123°
m∠B = 3x + 12 (vertical angles)
= 3×15 + 12
= 57°
(6y-5) + (10y-7) = 180 (same side interior angles)
16y - 12 = 180
y = 192 ÷ 16
= 12
m∠C = 10y - 7 (alternate interior angles)
= 10(12) - 7
= 113°
m∠D = 10y - 7 (vertical angles)
= 10(12) - 7
= 113°
m∠E = 6y - 5 (corresponding angles)
= 6(12) - 5
= 67°