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

Step2: Set up the equation

We have \(77 + 66+62 + 59+12x=360\).
First, add the known angles: \(77 + 66+62 + 59=(77 + 66)+(62 + 59)=143+121 = 264\).
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:

\(x = 8\), so the answer is \(8\).