Question

Determine the value of x.Question options:A) 160° B) 240° C) 78° D) 80°

Answer 1

For a polygon with N sides, the sum of the interior angles must be equal to:

`A=(N-2)*180`

Because the presented polygon has 6 sides, we calculate the total of the sum as:

`A=(6-2)*180=4*180=720`

Now, let's use the given values to find x:

`\begin{gathered} 720=78+134+136+132+2x+x=480+3x \\ 3x=720-480=240 \\ x=(240)/(3)=80\degree \end{gathered}`

From the present solution, the correct answer is D) 80°