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How many sides does a regular polygon have if each of its interior angle as 165 degree?

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How many sides does a regular polygon have if each of its interior angle as 165o?

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Solution: Here, each interior angle = 165°
Hence, each exterior angle = 180° - 165° = 15°
As, measure of each exterior angle = 15°
So, number of sides = 360°/15° = 24
Hence, number of sides = 24

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