## Trigonometry (10th Edition)

$48^{\circ}, 132^{\circ}$
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: $(47)+1=48^{\circ}$ $4(47)-56=132^{\circ}$