NCERT - Mathematics

Book: NCERT - Mathematics

Chapter: 3. Understanding Quadrilaterals

Subject: Maths - Class 8th

Q. No. 5 of Exercises 3.2

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Is it possible to have a regular polygon with measure of each exterior angle as 22°?

We know that the sum of all exterior angles of all polygons is 360o.

And, in a regular polygon, each exterior angle is of the same measure.

Therefore, if 360o is a perfect multiple of the given exterior angle, then the given polygon will be possible

Exterior angle = 22°

360o is not a perfect multiple of 22o.

Hence, such polygon is not possible


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