To find the number of sides ( n ) of a regular polygon given that each of its interior angles is ( x ) degrees, you can use the formula for the interior angle: ( \text{Interior Angle} = \frac{(n-2) \times 180}{n} ). Setting this equal to ( x ) and solving for ( n ), you get ( n = \frac{360}{180 - x} ). Thus, if you know the value of ( x ), you can determine the number of sides.
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