# Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises: 23

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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