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

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

May 4th, 2015

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


May 4th, 2015

sorry i made a mistake

therefore, the number of sides is 360/10= 180 sides

therefore the polygon has 180 sides

May 4th, 2015

360/2=180 sides

May 4th, 2015

Okay, Thanks

May 4th, 2015

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