The measure of an exterior angle of a regular polygon is given. Find the number of sides of the polygon? Given number is 72?
360 / 72 = 5
Since the exterior angles of a polygon add up to 360, this must be a pentagon.
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To find the number of sides of a regular polygon when the measure of an exterior angle is given, you can use the formula:
Number of sides = 360° / measure of each exterior angle.
In this case, the measure of the exterior angle is given as 72°. So, you can substitute this value into the formula:
Number of sides = 360° / 72°.
Divide 360 by 72 to find the number of sides:
Number of sides = 5.
Therefore, a regular polygon with an exterior angle measuring 72° has 5 sides.