Book: NCERT - Mathematics
Chapter: 3. Understanding Quadrilaterals
Subject: Maths - Class 8th
Q. No. 5 of Exercises 3.2
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5
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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