Chapter 5.1, Problem 28E

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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

TwoÂ angles are supplementaryÂ when they add up to 180Â°.

**Calculation:**

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

Let the angles be

Use the property of supplementary angles

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

**Alternative Solution:**

Let the first of the complementary angles have measure

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