Given the following figure, what is the value of x? A. 10 B. 11C. 92D. 144

First we will find the total measure of all the interior angles:

180(n-2)
180(5-2) = 540

So the sum of the interior angles is 540.

Now add all the angles and set them equal to 540

84 + 12x + 92 + 9x - 16 + 13x + 6 = 540
166 + 34x = 540
34x = 374
x = 11

x is 11

Hope this helps :)