#### Answer

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$^{\circ}$