Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 2 - Section 2.5 - Convex Polygons - Exercises - Page 114: 4

Answer

m$\angle$D=118$^{\circ}$

Work Step by Step

The sum of the interior angles of a pentagon is 540$^{\circ}$. m$\angle$D=m$\angle$B=m$\angle$E 3m$\angle$D+m$\angle$A+m$\angle$C=540 3m$\angle$D+93+93=540 3m$\angle$D=354 m$\angle$D=118$^{\circ}$
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