Question

what is the value of x?
6
8
10
12

Explanation:

Step1: Recall the sum of exterior angles of a polygon

The sum of the exterior angles of any polygon is \(360^{\circ}\).

Step2: Set up the equation

We have the equation \(77 + 59+66 + 62+12x=360\).
First, add the known angles: \(77 + 59+66 + 62=(77 + 62)+(59 + 66)=139+125 = 264\).
So the equation becomes \(264+12x = 360\).

Step3: Solve for \(x\)

Subtract \(264\) from both sides: \(12x=360 - 264\).
\(12x = 96\).
Divide both sides by \(12\): \(x=\frac{96}{12}\).

Answer:

\(8\)