the sum of the internal angles of a regular polygon is equivalent to 56 right angles. Find the measure of the central angle of the polygon

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Mathematics

Stanton

11 May, 11:40

the sum of the internal angles of a regular polygon is equivalent to 56 right angles. Find the measure of the central angle of the polygon

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Gianni Parrish · Answer 1

If x is the number of sides of the regular polygon, then the sum of the interior angles is (x - 2) * 180 = 56 * 90. Solving for x gives 30 for the number of sides of the regular polygon.

To get the central angles measure, divide 360 by 30 to get 12 degrees for the measure of one of the 30 central angles.

Answer: 12 degrees