How many sides does a regular polygon have if it has an exterior angle of 2?

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Mathematics

Description

How many sides does a regular polygon have if it has an exterior angle of 2?

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Explanation & Answer

The total interior angle sum is 180(n-2)

The total exterior +interior sum is 180n

180n-180(n-2) =360

In this question, each exterior angle is 36 degrees

The total is 360 degrees

Therefore, the number of sides is 360/2= 10 sides

It is a decagon

The Final answer: 180 sides



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