Each interior angle of a regular polygon measures 180(s-2)/s degrees, where s represents the number of sides in the polygon. The figure shows a regular polygon.

What is the value of x ?


Each interior angle measures 180(6-2)/6 \(=720 \times 6=120^{\circ}\)
The angle whose measure is x° combines with its vertical angle (interior to the hexagon) to total 360°—the total number of degrees in a circle. Thus, x = 360 – 120 = 240.

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