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Chapter 7: Q24. (page 244)

Find the measure of each angle.

The ratio of the measures of two complementary angles is4:5.

Short Answer

Expert verified

The measure of each angle is 40鈭�and50鈭�.

Step by step solution

01

Step 1. Given information.

The ratio between angles of two complementary angles is,

4:5

02

Step 2. Concept used.

The sum of complementary angles is90鈭�.

Since, ratio of the angles is always in the simplified form,

It might not represent the actual measure.

03

Step 3. Consider the angles as4x and 5x.

The sum of the complementary angles can be expressed using the above relation as,

4x+5x=909x=90x=10

So each of the angles are given by,

4x=4脳104x=40

And,

5x=5脳105x=50

Therefore, the measure of each angle is40鈭� and50鈭�.

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