Answer:
See below
Explanation:
Short solution given below
Properties used in solution:
- Sum of angles of triangle is 180°
- Supplementary angles add up to 180°
- Vertical angles are equal
13.................................................
∠1 = ∠4 = ∠5 = ∠8 = 130°
∠2 = ∠3 = ∠6 = ∠7 = 180° -130° = 50°
14.................................................
2x + 90° + x = 180° ⇒ 3x = 90° ⇒ x = 30°
2y = x ⇒ 2y = 30° ⇒ y = 15°
z + 2y = 180° ⇒ z + 30° = 180° ⇒ z = 150°
15.................................................
5x - 20° = 3x ⇒ 2x = 20° ⇒ x = 10°
5x - 20° + 2y + 4y = 180° ⇒ 5*10° - 20° + 6y = 180° ⇒ 30° + 6y = 180° ⇒ y =25°