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17 November, 14:26

If the measure of each interior angle of a regular polygon is 165, find the number of sides of the polygon.

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  1. 17 November, 16:16
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    There is an equation for this. You take 180°-165°=15°. Then you take 360:15=24. So there are 24 exterier angles with each angle being 15°. Since there are 24 exterior angles, there are 24 sides.
  2. 17 November, 17:06
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    If the interior angle of a regular polygon is 165°, then the size of its exterior angle is 15°. Since the exterior angles of a polygon always add to 360°, then the number of sides is 360/15 = 24.

    There are 24 sides on this polygon. Answer is 24
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