Question

Find the measure of each angle:

m<9 = 2x - 4
m<10 = 2x + 4

They are supplementary angles. I'm lost.

Answer 1

(reposted for points)

Supplementary angles sum up to 180 degrees.

2x - 4 + 2x + 4 = 180

4x = 180

x = 45

Therefore,

m<9 = 2(45) - 4 = 90 - 4 = 86 degrees

m<10 = 2x + 4 = 90 + 4 = 94 degrees.

Answer 2

Supplementary angles sum up to 180 degrees.

2x - 4 + 2x + 4 = 180
4x = 180
x = 45

Therefore,
m<9 = 2(45) - 4 = 90 - 4 = 86 degrees
m<10 = 2x + 4 = 90 + 4 = 94 degrees.