FIND THA NUMBER OF SIDES OF A REGULAR POLYGON IF EACH EXTERIOR ANGLE MEASURES. 30'
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The exterior angles of a regular polygon are all equal, and for a polygon of n sides, they are
360/n ° each.
So .....
To find the number of sides of a regular polygon given that each exterior angle measures 30 degrees, you can use the following formula:
Number of sides = 360 degrees / Exterior angle
In this case, the exterior angle is given as 30 degrees. Substituting this value into the formula:
Number of sides = 360 degrees / 30 degrees
Number of sides = 12
Therefore, the regular polygon has 12 sides.