Find each angle of a 24-sided regular polygon? Find each outer angle and sum of interior angle

Each outer angle is 15°

The sum of interior angles is 3960°

Explanation:

The given polygon has 24 sides.

Now, we shall determine the angle of each outer angle.

Each outer angle can be determined using the formula,

where n is the number of sides. Here

Substituting in , we have,

Thus, the angle of each outer angle is 15°

The sum of interior angle can be determined using the formula,

Thus, the sum of the interior angle is 3960°

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