Question

ZA and ZB are vertical angles. If mZA = (5x – 28) and

mZB = (3x + 4), find the measure of each angle.

Answer 1

52

Explanation:

Vertical angles are equal

<a = <B

5x -28 = 3x+4

Subtract 3x from each side

5x-3x-28 = 3x+4-3x

2x-28 = 4

Add 28 to each side

2x-28+28 = 4+28

2x= 32

Divide by 2

2x/2 = 32/2

x = 16

<A = <B = 3x+4 = 3(16)+4 = 48+4 = 52