Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 2 - Section 2.1 - The Parallel Postulate and Special Angles - Exercises - Page 75: 17


x=12$^{\circ}$ y=4$^{\circ}$ m$\angle$7=76$^{\circ}$

Work Step by Step

m$\angle$3=m$\angle$6 6x+y=4x+7y 2x=6y x=3y m$\angle$3+m$\angle$5=180$^{\circ}$ 6x+y+8x+2y=180$^{\circ}$ 14x+3y=180$^{\circ}$ Substitute for X. 14(3y)+3y=180$^{\circ}$ 45y=180$^{\circ}$ y=4$^{\circ}$ Substitute for Y. x=3y x=3(4) x=12$^{\circ}$ m$\angle$7=m$\angle$3=6x+y m$\angle$7=6(12)+(4) m$\angle$7=76$^{\circ}$
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