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.

Statement Reason
∠A and ∠B are supplementary angles. Given
m∠A=4x−16; m∠B=2x+4 Given
m∠A+m∠B=180° Definition of supplementary angles
4x−16+2x+4=180 Response area
6x−16+4=180 Simplify.
6x−12=180 Simplify.
6x=192 Response area
x=32 Response area
m∠B=2(32)+4 Substitution Property of Equality
m∠B=64+4 Simplify.
m∠B=68° Simplify.