# Chapter 1 - Trigonometric Functions - Section 1.2 Angle Relationships and Similar Triangles - 1.2 Exercises - Page 16: 21

$48^{\circ}, 132^{\circ}$

#### Work Step by Step

1. Supplementary angles add up to 180 degrees: $(x+1)^{\circ}+(4x-56)^{\circ}= 180^{\circ}$ 2. Solve for x: $5x -55 = 180$ $5x=235$ $x=47^{\circ}$ 3. Replace the x and find the angles: $(47)+1=48^{\circ}$ $4(47)-56=132^{\circ}$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.