Question

what is the value of x? 6 8 10 12

Explanation:

Step1: Sum of exterior angles of a polygon

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

Step2: Set up the equation

We have the equation \(77 + 59+12x + 62+66=360\).
First, add the known angles: \(77 + 59+62+66 = 264\).
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 \(12\): \(x=\frac{96}{12}=8\).

Answer:

8