   Chapter 2.CR, Problem 14CR ### 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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# For Review Exercises 12 to 15, find the values of x and y . To determine

To find:

The values of x and y.

Explanation

Given:

Line a is parallel to line b.

Figure (1)

Property:

(1) In a triangle the sum of all interior angles is 180°.

(2) If two parallel lines are cut by a transversal, the pair of two alternate interior angles is congruent.

Approach:

In ΔACD the sum of all interior angles is 180°.

So,

100+x+2xy=1803xy=1801003xy=80(1)

Line a is parallel to line b.

2xy and 3x+2y are alternate interior angles.

So,

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