Respuesta :

ANSWER

The sum of the interior angles is 540º

x = 64º

EXPLANATION

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

[tex](n-2)\cdot180º[/tex]

Where n is the number of sides of the polygon.

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

[tex](5-2)\cdot180º=3\cdot180º=540º[/tex]

Then, with this we can find x:

[tex]104º+120º+140º+112º+x=540º[/tex]

Solving for x:

[tex]\begin{gathered} 476º+x=540º \\ x=540º-476º \\ x=64º \end{gathered}[/tex]

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