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.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

Explanation:

Statements Reasons

∠A and ∠B are supplementary Given

m∠A = (4x - 16), m∠B = (2x + 4) Given

m∠A + m∠B = 180° Definition of supplementary angles

4x - 16 + 2x + 4 = 180° Substitution property of equality

6x - 16 + 4 = 180 Simplify

6x - 12 = 180 Simplify

6x = 192 Addition property of equality

x = 32 Division property of equality

m∠B = 2(32) + 4 Substitution property of equality

m∠B = 64 + 4 Simplify

m∠B = 68° Simplify