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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.

Given A and B are supplementary angles mA4x16 mB2x4 Prove mB68 Drag and drop reasons into the boxes to correctly complete the proofGiven A and B are supplementa class=

Respuesta :

Answer:

Step-by-step 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        

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