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: 6

Answer

20°, 30°, 130°

Work Step by Step

1. Internal angles of a triangle have a sum of 180° (x+15)+(x+5)+(10x-20)= 180 2. Solve the equation for x x+10x+x=180-15-5+20 12x=180 x=15$^{\circ}$ 3. Then find angles by replacing x=50 (15)+15=30$^{\circ}$ (15)+5=20$^{\circ}$ 10(15)-20=130$^{\circ}$
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