   Chapter 2.3, Problem 23E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercise 23 to 30, determine the value of x so that line l will be parallel to line m . m ∠ 4 = 5 x m ∠ 5 = 4 ( x + 5 ) 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.

m4=5x and m5=4(x+5).

Figure (1)

Theorem:

If two parallel lines are cut by transversal, then the pairs of alternate interior angles are congruent.

Calculation:

Line 𝓁 is parallel to line m.

4 and 5 are alternate interior angles.

So,

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