Question

∠1 and ∠2 are supplementary angles. m∠1 = x − 39, and m∠2 = x + 61. Find the measure of each angle.

∠1 = 79, ∠2 = 101
∠1 = 40, ∠2 = 150
∠1 = 40, ∠2 = 140
∠1 = 79, ∠2 = 111

Answer 1

the third choice is correct.
X-39 + x+61 = 180
2x + 22 =180
2x = 158
X= 79
then you plug into the angles:
79 - 39 = 40 — angle 1
79 + 61 = 140 — angle 2

140 plus 40 is 180.