Chapter 4.CT, Problem 4CT

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

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,

âˆ T is consecutive to âˆ S and,

âˆ T is supplementary to âˆ S.

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

mâˆ T+mâˆ S=180Â°mâˆ T=180Â°âˆ’mâˆ Sâ€‰â€‰â€‰â€‰â€‰â€‰â€‰â€‰

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