   Chapter 2.3, Problem 25E ### 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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# In Exercise 23 to 30, determine the value of x so that line l will be parallel to line m . m ∠ 3 = x 2 m ∠ 5 = x To determine

To find:

The value of x for the given statement.

Explanation

Given:

The given statement is,

Line 𝓁 and m are cut by transversal t and are parallel to each other.

m3=x2 and m5=x.

Figure (1)

Theorem:

(1) If two parallel lines are cut by transversal, then the pairs of interior angles on the same side of the transversal are supplementary.

(2) Supplementary angles add up to 180°.

Calculation:

Line 𝓁 is parallel to line m.

3 and 5 are alternate interior angles on the same side of the transversal.

So,

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