Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 4 - Section 4.1 - Properties of a Parallelogram - Exercises - Page 184: 8

Answer

m$\angle$A=80$^{\circ}$ m$\angle$B=100$^{\circ}$ m$\angle$C=80$^{\circ}$ m$\angle$D=100$^{\circ}$

Work Step by Step

m$\angle$A+m$\angle$B=180 $\frac{2x}{5}$+$\frac{x}{2}$=180 4x+5x=1800 9x=1800 x=200 m$\angle$A=$\frac{2x}{5}$ m$\angle$A=$\frac{2(200)}{5}$ m$\angle$A=m$\angle$C=80 m$\angle$B=$\frac{x}{2}$ m$\angle$B=$\frac{200}{2}$ m$\angle$B=m$\angle$D=100
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