   Chapter 5.1, Problem 28E 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

The measures of two supplementary angles are in the ratio of 2:7. Find the measure of each angle, using the two methods of Example 7.

To determine

To find:

The measures of supplementary angles.

Explanation

Two angles are supplementary when they add up to 180°.

Calculation:

It is given that the measures of the supplementary angles are in the ratio of 2:7.

Let the angles be 2x and 7x.

Use the property of supplementary angles

2x+7x=180°9x=180°x=20°

Therefore, the measures of the supplementary angles are 2(20°) and 7(20°) i.e., 40° and 140°.

Alternative Solution:

Let the first of the complementary angles have measure x; then the second angle has the measure 180x

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