Respuesta :

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 :)

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

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