Question

SHOW ALL OF YOU WORK

What is the measure of angle L?

What is x?

What is the measure of angle M

Answer 1

just a quick addition to the great reply above by "jaymonlee0"

Check the picture below.

`125=(2x-10)+65\implies 125=2x+55\implies 35=x \\\\[-0.35em] ~\dotfill\\\\ L+(2x-10)+65=180\implies L+125=180\implies L=55 \\\\[-0.35em] ~\dotfill\\\\ M=2x-10\implies M=2(35)-10\implies M=60`

Answer 2

Angle L = 55

x = 35

Angle M = 60

Explanation:

Angle M + Angle N = 125

2x - 10 + 65 = 2x + 55 = 125

2x = 70

x = 35

Angle M = 70 - 10 = 60

Angle L = 180 = 60 = 65 = 55