## Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole

# Chapter 1 - Section 1.7 - The Formal Proof of a Theorem - Exercises: 20

#### Answer

$x=8$ $m\angle(2)=56^{\circ}$

#### Work Step by Step

Since $\angle(2)$ equals $\angle(4)$, you can set up the same equation from the last exercise with the angle measurements: $6x+8=7x$ $8=(7x-6x)=x$ Now you can plug in the value for $x$ again to find $m\angle(2)$: $m\angle(2)=(6x+8)^{\circ}$ $m\angle(2)=(6(8)+8)^{\circ}$ $m\angle(2)=(48+8)^{\circ}$ $m\angle(2)=56^{\circ}$

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