Trigonometry (10th Edition)

Published by Pearson
ISBN 10: 0321671775
ISBN 13: 978-0-32167-177-6

Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises: 5

Answer

50°, 60° and 70°

Work Step by Step

1. Internal angles of a triangle have a sum of 180° (x+20)+(210-3x)+(x)= 180 2. Solve the equation for x x-3x+x=180-210-20 -x=-50 x=50$^{\circ}$ 3. Then find other two angles by replacing x=50 (50)+20= 70$^{\circ}$ 210-3(50)=60$^{\circ}$
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