Chapter 4.CR, Problem 16CR

### 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: ▱ M N O P m ∠ M = 4 x m ∠ O = 2 x + 50 Find:   m ∠ M   and   m ∠ P

To determine

To Find:

The measures of angles M and P of the parallelogram MNOP with the help of provided information.

Explanation

Properties Used:

1. Two consecutive angles of a parallelogram are supplementary.

2. The opposite angles of a parallelogram are congruent.

Calculation:

It is given that MNOP is a parallelogram with mâˆ M=4x and mâˆ O=2x+50.

In the parallelogram MNOP, âˆ M and âˆ O are opposite angles.

By the property â€˜opposite angles of a parallelogram are congruentâ€™, mâˆ M=mâˆ O.

4x=2x+50

2x=50

x=25Â°

Substituting the value of x in measure of angle M,

mâˆ M=4x=4

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started