Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10:
ISBN 13:

Chapter 3 - Section 3.3 - Isosceles Triangles - Exercises - Page 145: 6

Answer

m$\angle$V=42$^{\circ}$

Work Step by Step

If $\overline{VT}$ is congruent to $\overline{VU}$ and m$\angle$T=69$^{\circ}$ then m$\angle$U will also be 69$^{\circ}$ Now, m$\angle$V+m$\angle$T+m$\angle$U=180$^{\circ}$ m$\angle$V+69$^{\circ}$+69$^{\circ}$=180$^{\circ}$ m$\angle$V=180$^{\circ}$-138$^{\circ}$ m$\angle$V=42$^{\circ}$
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