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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.

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

 Oct 17, 2018
edited by Guest  Oct 17, 2018
 #1
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bruh

 Dec 4, 2018

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