Question

Can you please help ? i need help setting up the equation and also getting the result.

Answer 1

The sum of the external angles of a polygon is equal to 180 degrees.

Therefore,

`(2x+9)+(x+12)+(2x+7)+(2x+11)+(2x+15)=180`

Solving the above equation for x,

`\begin{gathered} (2x+x+2x+2x+2x)+(9+12+7+11+15)=180 \\ 9x+54=180 \\ 9x=180-54 \\ 9x=126 \\ x=(126)/(9) \\ x=14 \end{gathered}`

Therefore, the value of x is 14.