Question

I really need help with this problem

Answer 1

Answer:

S = 151°

Step-by-step 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.