Answer:
32 degrees
Step-by-step explanation:
Because the triangle is isosceles, 2 of its angles must equal each other:
15x - 31 = 9x + 11
---> x = 7
Plug 7 into either 15x - 31 and 9x + 11:
15(7) - 31 = 74 degrees
and
9(7) + 11 = 74 degrees
Add them together, and you get 148 degrees.
Finally, subtract 180 from 148 to get 32 degrees for angle S.
