   Chapter 4.CT, Problem 4CT 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

In ▱ R S T V , m ∠ S = 57 ° . Which diagonal ( V S ¯  or  R T ¯ ) would have greater length? To determine

To Find:

Which diagonal has a greater length?

Explanation

Given parallelogram is RSTV,

.

From the property consecutive angles in a parallelogram are supplementary.

Now, from the figure,

T is consecutive to S and,

T is supplementary to S.

Now the sum of measure of two supplementary angles is 180o.

mT+mS=180°mT=180°mS

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