Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises - Page 16: 31

Answer

No, no triangle can have two obtuse angles.

Work Step by Step

The three angles in the triangle must add up to 180. Obtuse angle is the one that more than 90 degrees, therefore, if triangle have two obtuse angles, the sum of the angles will add up to more than 180. Eventually, no triangle can have more that one obtuse angle.
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