   Chapter 4.CR, Problem 14CR 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

Review Exercises Given: ▱ A B C D m ∠ A = 2 x + 6 m ∠ B = x + 24 Find:   m ∠ C To determine

To Find:

The measure of angle C of the parallelogram ABCD with the help of provided information.

Explanation

Properties Used:

1. Two consecutive angles of a parallelogram are supplementary.

2. The opposite sides of a parallelogram are congruent.

Calculation:

It is given that ABCD is a parallelogram with mA=2x+6 and mB=x+24.

In the parallelogram ABCD, mA and mB are supplementary.

That is, mA+mB=180°.

Applying the values in the above supplementary formula,

2x+6+x+24=180°

3x+30=180°

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