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Answer:
∠S = 38°
Explanation:
The sum of angles in a triangle is 180°, so you have ...
(x+17)° +(2x-2)° +(5x+5)° = 180°
8x +20 = 180 . . . . . divide by °, collect terms
8x = 160 . . . . subtract 20
x = 20 . . . . . . divide by 8
∠S = (2x -2)° = (2·20 -2)°
∠S = 38°