Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 2 - Section 2.4 - The Angles of a Triangle - Exercises - Page 107: 41

Answer

m$\angle$M=75$^{\circ}$ m$\angle$N=75$^{\circ}$

Work Step by Step

m$\angle$M=m$\angle$N m$\angle$M+m$\angle$N+m$\angle$P=180$^{\circ}$ 2m$\angle$M+m$\angle$P=180$^{\circ}$ 2m$\angle$M+30$^{\circ}$=180$^{\circ}$ 2m$\angle$M=150$^{\circ}$ m$\angle$M=75$^{\circ}$ m$\angle$N=75$^{\circ}$
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