Question

A and B are vertical angles. If A = (5x - 28) and

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

Answer 1

A = B = 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

x= 16

A = 5x - 28 = 5(16) -28 = 80-28 = 52

B = A = 52