Elementary Geometry for College Students (6th Edition)

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

Chapter 2 - Section 2.4 - The Angles of a Triangle - Exercises - Page 92: 2

Answer

$∠A = 59^{\circ}$

Work Step by Step

we know sum of all three angles of triangle is 180∘ $m∠A+m∠B+m∠C= 180^{\circ}$ $m\angle A+39^{\circ}+82^{\circ} =180^{\circ}$ $m\angle A+121^{\circ} =180^{\circ}$ $∠A = 180^{\circ}−121^{\circ}$ $∠A = 59^{\circ}$
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