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: 23

Answer

No, no triangle can have both $85^{\circ}$ and $100^{\circ}$ angles.

Work Step by Step

1. The three angles of a triangle must add up to 180. These two angles already more than 180, so no triangle can have both those angles. $85^{\circ}+100^{\circ}\ne180^{\circ}$
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