Question

Is it possible to have a reguler polygon each of whose exterior angle is 70 degree

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Answer 1

Question : Is it possible to have a regular polygon each of whose exterior angle is 70 degrees?

Answer :-

We know that the exterior angle is 70 degrees.

Then the angles in the polygon = 180 - 70 = 110

Since it's a regular polygon, sides and angles are equal.

We know that a polygon will have a total angle of 360 degrees.

Suppose the polygon has more than three sides, (because we cannot have it in the case of a triangle).

With four sides, the total angle would be 440 degrees. Which is not possible.

With five sides, the total angle is 550 degrees.

And so on, depending upon the number of sides of a polygon.

All of the above cases - the angles add up to more than 360 degrees.

which means that such a polygon does not exist.

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