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Exterior angle is 360/24 ie 15o so interior angle is 180 - 15 ie 165o.

Another method is to use the formula "(2n - 4) right angles", which is the sum of the interior angles of an n-sided polygon. In this case n = 24 so total of the interior angles is (48 - 4) x 90 which is 3960o. Dividing this by the number of interior angles, 24, also gives 165o.

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Exterior angle: 15 degrees

Interior angle: 165 degrees

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14y ago
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Q: What is the measure of 1 angle of a regular 24-gon?
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