# Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises: 12

$117^{\circ}, 63^{\circ}$

#### Work Step by Step

1. These are alternate interior angles so they are congruent. $2x+61=6x+51$ 2. Solve for x: $-4x+61=51$ $x=28^{\circ}$ 3. Insert x into one of the angles to find the measure : $2(28)+61=117^{\circ}$ 4. To find the supplementary angle subtract it from 180: $180-117=63^{\circ}$

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