Elementary Geometry for College Students (5th Edition)

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

Chapter 3 - Section 3.5 - Inequalities in a Triangle - Exercises - Page 165: 12b

Answer

It is possible. See the picture below:

Work Step by Step

The sum of the interior angles in the triangle $50^{\circ} + 50^{\circ} + 80^{\circ}= 180^{\circ}$. It is also an isosceles triangle, as it has two equal angles.
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