If the exterior angle of a triangle is 120 degree and its interior opposite angles are (15x+5) and (22x+4), find the value of x

The exterior angle is equal to the sum of opposite interior angles, so ...
  (15x+5) + (22x+4) = 120
  37x +9 = 120
  x = (120 -9)/37 = 3

The value of x is 3.

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.