Question

what is the value of x?
72
84
96
252
(x + 12)^circ
57^circ
108^circ
60^circ
51^circ

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 \((x + 12)+57 + 60+51+108=360\).

Step3: Simplify the left - hand side of the equation

First, add the known angles: \(57+60 + 51+108=276\). The equation becomes \(x + 12+276=360\).

Step4: Solve for \(x\)

Subtract \(288\) (since \(12 + 276=288\)) from both sides of the equation: \(x=360-(12 + 276)\). So \(x=360 - 288\).

Answer:

\(x = 72\)