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Each exterior angle of a certain regular polygon measures 30. How many sides does the polygon have?

Answer 1

Noah Atkinson

Number of sides of the polygon is #12#.

Sum of exterior angles of every polygon irrespective of number of its sides is #360^o#.

As it is a regular polygon, all exterior angles are equal and are #30^o#.

Hence number of sides of the polygon is #360^o/30^o=12#.

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Answer 2

Theodore Abad

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

[ \text{Number of sides} = \frac{360^\circ}{\text{measure of each exterior angle}} ]

Given that each exterior angle of the polygon measures 30 degrees, we can substitute this value into the formula:

[ \text{Number of sides} = \frac{360^\circ}{30^\circ} ]

[ \text{Number of sides} = 12 ]

Therefore, the polygon has 12 sides.

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