how many sides does a regular polygon have it each exterior angle measures 40 degrees
Recall that the sum of exterior angles of any polygon is equal to 360 degrees.
Therefore, we just divide 360 by 40 degrees to get the number of sides:
360/40 = 9 sides
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To find out the number of sides in a regular polygon, you need to use the formula:
n = 360 / x
where n represents the number of sides and x is the measure of each exterior angle.
In this case, the measure of each exterior angle is given as 40 degrees. Substituting this value into the formula:
n = 360 / 40
Dividing 360 by 40, you get:
n = 9
Therefore, a regular polygon with each exterior angle measuring 40 degrees has 9 sides.