If the measure of angle 4 is 11x and angle 3 is 4x, what is the measure of angle 3 in degrees?

Let x = degree measure of the angle

So, the complement of the angle has degree measure 90-x

4/11 = x / (90-x)

4 (90-x) = 11x

360 - 4x = 11x

15x = 360

x = 24°

Supplement = 180 - x = 156° x / (180-x) = 24/156 = 2/13