   Chapter 4.4, Problem 2E 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

Find the measures of the remaining angles of trapezoid ABCD (not shown) if A B ¯ | | D C ¯ and m ∠ B = 63 ° and m ∠ D = 118 ° .

To determine

To Find:

The angles of a trapezoid.

Explanation

Consider the following trapezoid.

It is given that AB||DC and mB=63° and mD=118°.

When AB||DC, the angles mBandmC are supplementary.

It means mB+mC=180°.

Substitute mB=63°.

Now, 63°+mC=180°.

Therefore, mC=180°63°=117°

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