# Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises: 4

139$^{\circ}$ and 41$^{\circ}$

#### Work Step by Step

1. Vertical angles are congruent 11x-37=7x+27 2. Solve the equation to find x: 11x-7x= 27+37 4x=54 x=16 3. Plug x into one of the angles to find the angle itself: 11(16)-37=139$^{\circ}$ 4. Find the supplementary angle 180-139=41$^{\circ}$

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