Question

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

Answer 1

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}`