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The sum of the interior angle is and what is the value of x

The sum of the interior angle is and what is the value of x-example-1

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ANSWER

The sum of the interior angles is 540º

x = 64º

Step-by-step explanation

The sum the interior angles of any polygon follows the rule:


(n-2)\cdot180º

Where n is the number of sides of the polygon.

This polygon has 5 sides, so the sum of the interior angles is:


(5-2)\cdot180º=3\cdot180º=540º

Then, with this we can find x:


104º+120º+140º+112º+x=540º

Solving for x:


\begin{gathered} 476º+x=540º \\ x=540º-476º \\ x=64º \end{gathered}

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