Elementary Geometry for College Students (6th Edition)

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

Chapter 3 - Section 3.3 - Isosceles Triangles - Exercises - Page 146: 21


Each base angle has a measure of $55^{\circ}$

Work Step by Step

By definition of isosceles triangles, the two base angles are equal. Also, the sum of the three angles of a triangle is $180^{\circ}$ Let $x$ be the measure of each base angle. $x + x + 70^{\circ} = 180^{\circ}$ $2x = 180^{\circ}- 70^{\circ}$ $2x = 110^{\circ}$ $x = \frac{110^{\circ}}{2}$ $x = 55^{\circ}$ Each base angle has a measure of $55^{\circ}$
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