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The number of sides does a regular polygon have if each of its interior angles is 165 degrees is

Posted by Yesupadam Krupasangeetha 6 years, 5 months ago

CBSE > Class 08 > Mathematics

1 answers

Sia ? 6 years, 5 months ago

Each interior angle = 165°
∴ each exterior angle = 180° - 165° = 15°
Now Measure of each angle =15°
∴ Number of exterior angles ={tex}\frac{360^\circ}{15^\circ}{/tex} = 24
∴ Number of sides = 24

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