   Chapter 2.1, Problem 39E 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

For the figure shown, a ∥ b ∥ c , Find x and y. To determine

To find:

The values of x, and y.

Explanation

Given:

The given figure is,

abc.

Definition:

If there exists two parallel lines cut by a transversal then the alternate angles will be same.

The sum of angles that falls on the straight line is 180°.

Calculation:

Consider the figure,

Figure (1)

m1=x, m2=12y+14 , m3=y8 and m5=x

From figure (1) ab.

1 and 2 are alternate angles.

m1=m2x=12y+142x=y+28 ...(1)

From the figure (1), bc.

3 and 4 fall on the line b.

m3+m4=180°y8+m4=180°m4=180°y+8°m4=188°y

From the figure (1), bc

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