Chapter 4.CR, Problem 14CR

### 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

# 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 mâˆ A=2x+6 and mâˆ B=x+24.

In the parallelogram ABCD, mâˆ A and mâˆ B are supplementary.

That is, mâˆ A+mâˆ B=180Â°.

Applying the values in the above supplementary formula,

2x+6+x+24=180Â°

3x+30=180Â°

3<

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