To find the number of sides of the regular polygon, we first need to use the formula for calculating the interior angle of a regular polygon:
Interior angle = (n-2) * 180 / n
Where n is the number of sides of the polygon.
Given that the interior angle of the regular polygon is 108 degrees, we can set up an equation:
108 = (n-2) * 180 / n
Multiplying both sides by n to get rid of the fraction:
108n = (n-2) * 180
Distributing the 180 on the right side:
108n = 180n - 360
Subtracting 108n from both sides:
72n = 360
Dividing both sides by 72:
n = 5
Therefore, Maria constructed a regular polygon with 5 sides.
Maria constructed a regular polygon whose interior angle is 108 degrees. Determine the number of the sides of the polygon
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