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**

Guest Oct 17, 2018

edited by
Guest
Oct 17, 2018