Question

What is the interior SUM of the figure above S= Degrees What is the value of x? X=

Answer 1

The sum of the interior angle of a polygon is given by the formula

`\begin{gathered} (n-2)180^0 \\ \text{where } \\ n=nu\text{mber of sides of the polygon} \end{gathered}`

From the figure shown in the question

`n=5`

Therefore, the sum of the interior angles is

`\begin{gathered} (5-2)*180 \\ 3*180^0 \\ 540^0 \end{gathered}`

`4x-8+91+3x-5+92+125=540^0`
`\begin{gathered} 4x+3x+308^0-13^0=540^0 \\ 7x+295^0=540^0 \\ 7x=540^0-295^0 \\ 7x=245^0 \\ x=(245)/(7) \\ x=35^0 \end{gathered}`

Hence, the sum of the interior angles is 540°, and the value of x= 35°