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Elementary Geometry for College St...

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

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BuyFindarrow_forward

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 โˆ  6 = x 2 โˆ’ 9

m โˆ  2 = x ( x โˆ’ 1 )

Chapter 2.3, Problem 27E, In Exercise 23 to 30, determine the value of x so that line l will be parallel to line m. m6=x29

To determine

To find:

The value of x for the given statement.

Explanation

Given:

The given statement is,

Line ๐“ and m are cut by transversal t and are parallel to each other.

mโˆ 6=x2โˆ’9 and mโˆ 2=x(xโˆ’1).

Figure (1)

Theorem:

If two parallel lines are cut by transversal, then the pairs of corresponding angles are congruent

Calculation:

Line ๐“ is parallel to line m.

โˆ 6 and โˆ 2 are alternate interior angles.

So,

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