Question

A=5x+20 B=9x-92 Solve for x and then find the measure of A

Answer 1

Because of the transversal and the parallel lines, we know that A+B=180°.

So:
5x + 20 + 9x - 92 = 180
14x - 72 = 180
14x = 180 + 72
14x = 252
x = 252/14
x = 18

A = 5x + 20
A = 5*18 + 20
A = 90 + 20 = 110

(Let’s check:
B = 9*18 - 92
B = 162 - 92
B = 70
70 + 110 = 180)