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.
StatementReason
∠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
6x−16+4=180 Simplify.
6x−12=180 Simplify.
6x=192
x=32
m∠B=2(32)+4 Substitution Property of Equality
m∠B=64+4 Simplify.
m∠B=68° Simplify.
Here are the answer choices; To fill in the rest
Substitution Property of Equality
Reflexive Property of Equality
Addition Property of Equality
Division Property of Equality
Symmetric Property of Equality
Transitive Property of Equality
Angle Addition Postulate
