   Chapter 2.3, Problem 3E ### 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 Exercises 1 to 6, l and m are cut by transversal v . On the basis of the information given, determine whether l must be parallel to m . m ∠ 1 = 106 ° and m ∠ 7 = 76 °

To determine

To verify:

Whether 𝓁 must be parallel to m.

Explanation

Given:

𝓁 and m are cut by transversal v.

m1=106° and m7=76°.

Figure (1)

Approach:

(1) If two lines are cut by a transversal so that two corresponding angles are congruent, these lines are parallel.

(2) The supplementary angles add up to 180°.

Calculation:

The given statement is, 𝓁 and m are cut by transversal v.

m1=106° and m7=76°

7 and 5 are supplementary angles.

So, m7+m5=180°

Substitute 76° for m7 in the above equation.

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