   Chapter A.3, Problem 13E 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

Two angles are supplementary if the sum of their measures is 180 ∘ . If the meausre of the first of two supplementary angles is less than 32 ∘ , what must you conclude about the measure of the second angle?

To determine

To find:

The measure of the second angle by using the given condition.

Explanation

Consider the following condition,

“Two angles are supplementary if the sum of their measures is 180. If the measure of the first of two supplementary angles is less than 32

Definition:

If a is less than b if and only if there is a positive number p for which

a+p=b;

If a is greater than b if and only if b<a.

Let the two angles are 1 and 2.

From the given condition the first of two supplementary angles is less than 32.

That is 1<32.

By using the above definition,

1+p=321=32p

Also from the given condition two angles are supplementary if the sum of their measures is 180

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