Pls help me I'm stuck!

∠S = 151°

Step-by-step 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