Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 2 - Section 2.5 - Convex Polygons - Exercises - Page 102: 46

Answer

The measure of the reflex angle at vertex E is $~216^{\circ}$

Work Step by Step

We can find the value of $x$ by considering the sum of all five interior angles: $x+x+2x+2x+4x = (5-2)~\cdot 180^{\circ}$ $10x = (3)~\cdot 180^{\circ}$ $x = 54^{\circ}$ We can find the measure of the reflex angle: $4x = (4) \cdot (54^{\circ}) = 216^{\circ}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.