Question 317146
Let 7x = small angle

let 8x = big angle

7x + 8x = 180

15x = 180

x = 180/15

x = 12

Small angle = 7(12) = 84

Big angle = 8(12) = 96

NOTE: 96 degrees is the only supplementary angle here.  Angle 84 degrees is not supplementary but together they add up to 180 degrees.

I hope this helps.