Elementary Geometry for College Students (5th Edition)

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

Chapter 3 - Section 3.3 - Isosceles Triangles - Exercises: 22

Answer

m$\angle$4=112$^{\circ}$

Work Step by Step

If m$\angle$3=68$^{\circ}$ then m$\angle$2=m$\angle$3=68$^{\circ}$ Now, m$\angle$4+(m$\angle$2$\div$2)+(m$\angle$3$\div$2)=180$^{\circ}$ m$\angle$4+(68$^{\circ}$$\div$2)+(68$^{\circ}$$\div$2)=180$^{\circ}$ m$\angle$4+34$^{\circ}$+34$^{\circ}$=180$^{\circ}$ m$\angle$4=180$^{\circ}$-68$^{\circ}$ m$\angle$4=112$^{\circ}$
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