Chapter 4.4, Problem 2E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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 mâˆ B=63Â° and mâˆ D=118Â°.

When AB||DC, the angles mâˆ Bâ€Šâ€Šâ€Šandâ€Šâ€Šâ€Šâ€Šmâˆ C are supplementary.

It means mâˆ Bâ€Šâ€Šâ€Š+â€Šâ€Šâ€Šmâˆ C=180Â°.

Substitute mâˆ B=63Â°.

Now, 63Â°+mâˆ Câ€Šâ€Šâ€Š=180Â°.

Therefore, mâˆ C=180Â°âˆ’63Â°=117Â°

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