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 2 - Section 2.4 - The Angles of a Triangle - Exercises - Page 105: 2


$∠A = 59^{\circ}$

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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