Answer:
x = 17
Step-by-step explanation:
Use the interior angle sum theorem which says:
if n is the number of sides the sum of the interior angles is 180(n-2)
there are 6 sides, so the interior angle sum is 180(6 - 2) = 180 * 4 = 720.
This means that if you add all the angles you will get 720, so:
[tex]110 + 8x - 1+5x+36+116+7x+19+6x-2=720[/tex]
[tex]26x+278=720\\26x = 442\\x = 17[/tex]
