Elementary Geometry for College Students (5th Edition)

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

Chapter 3 - Review Exercises - Page 173: 22

Answer

m$\angle$DAC=115$^{\circ}$

Work Step by Step

m$\angle$BCD=m$\angle$DAC m$\angle$A=m$\angle$C m$\angle$B+m$\angle$A+m$\angle$C=180 50+2m$\angle$C=180 2m$\angle$C=130 m$\angle$C=65 m$\angle$BCD+m$\angle$DCA=m$\angle$C m$\angle$BCD+m$\angle$DCA=65 m$\angle$DAC+m$\angle$DCA=65 m$\angle$DAC+m$\angle$DCA+m$\angle$ADC=180 65+m$\angle$ADC=180 m$\angle$DAC=115
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