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: 9

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$\angle$C $\frac{2x}{3}$=$\frac{x}{2}$+20 4x=3x+120 x=120 m$\angle$A=$\frac{x}{2}$+20 m$\angle$A=$\frac{120}{2}$+20 m$\angle$A=m$\angle$C=80 m$\angle$B=180-m$\angle$A m$\angle$B=180-80 m$\angle$B=m$\angle$D=100$^{\circ}$
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.