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What is the measure of an interior angle of a regular polygon with 24 sides?

What is the measure of an interior angle of a regular polygon with 24 sides?

3960 degrees
To find the measure of an interior angle of a regular polygon, take the sum of all interior angles and divide by the number of angles. The sum of all interior angles can be found by (n – 2)*180 where n is the number of sides, in this case 24. So all the interior angles add to 3960 degrees.

What do the interior angles of a hexagon?

The sum of the interior angles of a hexagon must equal 720 degrees. Because the hexagon is regular, all of the interior angles will have the same measure.

What is the sum of the exterior angles of a 24 sided polygon?

The sum of the interior and exterior angles is 3960 + 360 or 4320°.

What is the interior angle of a 23 Gon?

A polygon with 23 sides has a total of 3780 degrees. total interior angles = (n – 2)180°, where n is the number of sides.

How do you find the interior angle of a 24 Gon?

A 24 -gon has 24 exterior angles. Each exterior angle measures 36024=15 . The interior angle measures 180−15=165 . The sum of the 24 interior angles is then 24⋅165=3960 .

What type of angle is 24 degrees?

acute angle-an angle between 0 and 90 degrees. right angle-an 90 degree angle. obtuse angle-an angle between 90 and 180 degrees.

How do you find the interior and exterior angles of a hexagon?

The formula used for finding the measure of interior angle of a polygon is given as: d=180(n−1)n, “d” represents interior angle and n is the number of sides in the polygon. So, the value of d or interior angle is 120 degrees. Therefore, the exterior angle of a regular hexagon will be = 180 – 120 = 60 degrees.

What is the sum of interior angles for a 24-Gon?

In geometry, an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon. The sum of any icositetragon’s interior angles is 3960 degrees.

How do you find the interior angle of a 24-Gon?

What is the sum of the interior angles of a 24 gon?

How many degrees is a hexagon?

720°
Hexagon/Sum of interior angles

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Ruth Doyle