Question

Given: ∠A and ∠B are supplementary angles.

m∠A=4x−16; m∠B=2x+4

Prove: m∠B=68°



Drag and drop reasons into the boxes to correctly complete the proof.

Answer 1

see below

Explanation:

m∠A=4x−16

m∠B=2x+4

Supplementary means 180°

m∠A + m∠B = 180°

4x−16 + 2x+4 = 180

6x - 12 = 180

6x = 192

x = 32

m∠A = 4(32)−16 = 112°

m∠B = 2(32)+4 = 68°