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