Question

Given the following figure, what is the value of x?

A. 10
B. 11
C. 92
D. 144

Answer 1

Answer: 11

Step-by-step explanation: We have an irregular pentagon

The sum of the interior angles = 540°

So

84 + 12x + 92 + (9x - 16) + (13x + 6) = 540 simplify

166 + 34x = 540 subtract 166 from both sides

34x = 374 divide both sides by 34

x = 11

Answer 2

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 :)