Answer:
∠S = 151°
Explanation:
Hello there!
This is an irregular pentagon
If you didn't know the sum of the interior angles add up to equal 540
We must solve for x to be able to find the measure of angle S
we can use this equation to solve for x
540 = 5x + 2 + 10x - 3 + 7x - 11 + 13x - 31 + 8x - 19
step 1 combine like terms
2 - 3 - 11 - 31 - 19 =-62
5x + 10x +7x + 13x + 8x = 43x
so now we have
540 = 43x - 62
step 2 add 62 to each side
-62 + 62 cancels out
540 + 62 = 602
now we have
602 = 43x
step 3 divide each side by 43
43x/43 = x
602/43=14
we're left with x = 14
Now we want to plug in x for angle S
13(14) - 31
13*14=182
182-31=151
So we can conclude that the measure of angle S is 151 degrees