   Chapter 2.4, Problem 28E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# Given: m ∠ 1 = 8 ( x + 2 ) m ∠ 3 = 5 x − 3 m ∠ 5 = 5 ( x + 1 ) − 2 Find: x

To determine

To find:

The value of x.

Explanation

Given:

m1=8(x+2)m3=5x3

And,

m5=5(x+1)2

Figure (1)

Approach:

The measure of an exterior of a triangle is equal to the sum of the measures of two non-adjacent interior angles.

Calculation:

Equate the exterior angle of triangle to the sum of the measures of two non-adjacent interior angles.

m1=m5+m3

Substitute 8(x+2) for m1<

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