   Chapter 2.1, Problem 14E 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

A D ¯ ∥ B C ¯ , A B ¯ ∥ D C ¯ , and m ∠ A = 92 ° . Find: a) m ∠ B b) m ∠ C c) m ∠ D To determine

a)

To find:

The find the measure of B.

Explanation

If there exists two parallel lines cut by a transversal then the pair of interior angles on the same side of transversal are supplementary.

Given:

The given figure is,

AD¯BC¯, AB¯DC¯, and mA=92°.

The given angle is A.

Approach:

Consider the given figure,

From the above figure, AD¯BC¯ with transversal AB¯

To determine

b)

To find:

The find the measure of C.

To determine

c)

To find:

The find the measure of D.

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