Answer:
S = 151°
Explanation:
Recall that the sum of the measures of the interior angles of a polygon with n sides is (n – 2)180.
Here we have a polygon with 5 sides (n=5), so the sum of its interior angles must be
(5-2)*180 = 540°
So
P+Q+R+S+T = 540°
(10x-3)+(5x+2)+(7x-11)+(13x-31)+(8x-19) = 540°
43x - 62 = 540
43x = 540 + 62
43x = 602
x = 602/43
x = 14°
The angle S equals 13x - 31 = 13*14 - 31 = 151°
S = 151°
You can compute all the other angles as well.