Question

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what is the value of x?
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x =

Explanation:

Step1: Recall polygon - sum formula

The sum of interior angles of an $n$-sided polygon is $(n - 2)\times180^{\circ}$. Here $n = 6$, so the sum is $(6 - 2)\times180^{\circ}=720^{\circ}$.

Step2: Set up an equation

$112 + 133+128 + 100+120+x=720$.

Step3: Simplify the left - hand side

$593 + x=720$.

Step4: Solve for x

$x=720 - 593=127$.

Answer:

$127$