For this question i know that the answer is c but how do i show work for the answer?

I'm not sure if there is a specific way you need to do this, but

You could do:

(x - 3)° = 74°

Because you know that the 2 lines are parallel and the angles should be the same

x - 3 = 74  Add 3 on both sides

x = 77°

A straight line is 180°. The angles (x - 3)°, 41°, and (y + 8)° make up this 180° angle, so you could do:

(x - 3) + 41 + (y + 8) = 180

Since you know the angle of (x - 3), you can replace (x - 3) with 74

74 + 41 + (y + 8) = 180

115 + y + 8 = 180

123 + y = 180  Subtract 123 on both sides

y = 57°