Question

∠1 and angle, 2∠2 are supplementary angles. If m, angle, 1, equals, left parenthesis, 3, x, plus, 8, right parenthesis, degreesm∠1=(3x+8)
∘
and m, angle, 2, equals, left parenthesis, x, minus, 28, right parenthesis, degreesm∠2=(x−28)
∘
, then find the measure of angle, 2∠2.

Answer 1

Supplementary means their measures add to 180°:
(3x + 8) + (x − 28) = 180
4x − 20 = 180
4x = 200
x = 50

Then m∠2 = x − 28 = 50 − 28 = 22°.

So ∠2 measures 22°.