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Each exterior angle of a regular polygon measures 20. How many sides does the polygon have?

Answer 1

#18 # sides

A very useful property to know of any polygon, whether regular or irregular, is that the sum of the exterior angles is always 360°.

For a regular polygon, the size of each exterior angle, #theta# can be found from:

#theta = (360°)/n" "larr# where n = number of sides

Using this property, if you know the size of the exterior angle, you can find the number of sides.

#n = (360°)/(20°)#

#=18# sides

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Answer 2

Theodore Abad

The number of sides in a regular polygon can be calculated using the formula:

Number of sides = 360° / Measure of each exterior angle

Given that each exterior angle measures 20°, we can plug this value into the formula:

Number of sides = 360° / 20°

Number of sides = 18

Therefore, the regular polygon has 18 sides.

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