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: 7

Answer

m$\angle$A=83$^{\circ}$ m$\angle$B=97$^{\circ}$ m$\angle$C=83$^{\circ}$ m$\angle$BD=97$^{\circ}$

Work Step by Step

m$\angle$A+m$\angle$B=180 2x+3+3x-23=180 5x=200 x=40 m$\angle$A=2x+3 m$\angle$A=2(40)+3 m$\angle$A=m$\angle$C=83 m$\angle$B=3x-23 m$\angle$B=3(40)-23 m$\angle$B=m$\angle$D=97
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