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

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प्रश्न

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

लघु उत्तरीय

उत्तर

The sum of all exterior angles of all polygons is 360º. Also, in a regular polygon, each exterior angle is of the same measure. Hence, if 360º is a perfect multiple of the given exterior angle, then the given polygon will be possible

Exterior angle = 22º

360º is not a perfect multiple of 22º. Hence, such polygon is not possible.

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अध्याय 3: Understanding Quadrilaterals - Exercise 3.2 [पृष्ठ ४४]

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एनसीईआरटी Mathematics [English] Class 8
अध्याय 3 Understanding Quadrilaterals
Exercise 3.2 | Q 5.1 | पृष्ठ ४४

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