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 3 - Section 3.3 - Isosceles Triangles - Exercises - Page 159: 9


$\angle V$ is $36^{\circ}$

Work Step by Step

Since $\overline{VU}$ = $\overline{VT}$, we know this is an isosceles triangle. Meaning: $\angle T$ = $\angle U$ We know that: $\angle TVU = 180^{\circ}$ $\angle T = 72^{\circ}$ Therefore $\angle U = 72^{\circ}$ $\angle V = 180^{\circ} - 2(72^{\circ})$ $\angle V = 180^{\circ} - 144$ $\angle V = 36^{\circ}$
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