Question

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solve for x in this figure.
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$x=square^{circ}$

Explanation:

Step1: Find the sum of interior angles

The formula for the sum of interior angles of an \(n\) - sided polygon is \((n - 2)\times180^{\circ}\). Here \(n=5\) (a pentagon), so \((5 - 2)\times180^{\circ}=540^{\circ}\).

Step2: Set up an equation

We know that \(x + 121+108 + 102+100=540\).

Step3: Solve for \(x\)

Simplify the left - hand side: \(x+(121 + 108+102 + 100)=x + 431\). Then \(x+431 = 540\). Subtract 431 from both sides: \(x=540 - 431\).

Answer:

\(109\)