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How many sides does a regular polygon have if each of its interior angles is 165°? - Mathematics

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प्रश्न

How many sides does a regular polygon have if each of its interior angles is 165°?

योग

उत्तर

Measure of each interior angle = 165°

Measure of each exterior angle = 180° − 165° = 15°

The sum of all exterior angles of any polygon is 360º.

Thus, number of sides of the polygon = `360^circ/15^circ = 24^circ`

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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 4 | पृष्ठ ४४

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