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Chapter 4: Q. 353 (page 480)

The difference of two supplementary angles is58

degrees. Find the measures of the angles.

Short Answer

Expert verified

The measures of the angles are119and61

Step by step solution

01

Step 1. Given information

The difference of two supplementary angles is58

degrees.

02

Step 2. Find angles

Let angle=x

then it's supplement angle =180掳-x

Use the given condition to find x,

180掳-x-x=58掳2x=180掳-58掳2x=122掳x=61掳

Supplement angle is

=180-61=119

The measures of the angles are 119掳 and 61掳.

03

Step 3. Check both the given conditions 

119掳+61掳=180掳

This is true

119掳-61掳=58掳

This is also true

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