Question

7. 21 and 22 are vertical angles. If mZ1 = (17x + 1)' and m22

(20x - 14)", find m22.
Help please

Answer 1

Explanation:

Vertically opposite angles are equal.

m∠2 = m∠1

20x - 14 = 17x + 1

Add 14 to both sides

20x = 17x + 1 + 14

20x = 17x + 15

Subtract 17x from both side

20x - 17x = 15

3x = 15

Divide both sides by 3

x = 15/3

x = 5

∠1 = 17x + 1 = 17*5 + 1 = 85 + 1 = 86

∠2 = 20x - 14 = 20*5 - 14 = 100 - 14 =86