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Q: What is a polygon called if the sum of its interior angles equals 720?

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A Regular Polygon

1 a circle 360 interior angles 360 exterior agles

A [regular] hexagon.

Sum of interior angles = (n-2)*180 degrees = 1080 deg So (n-2) = 1080/180 = 6 => n = 8. The polygon is, therefore, an octagon. However, there is no reason to assume that the interior angles of this polygon are all the same - they could all be different with the only constraint being their sum. IF, and that is a big if, the polygon were regular, then all its angles would be equal and each interior angle = 1080/8 = 135 degrees.

120

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A triangle

A Regular Polygon

A 13 sided polygon also called a triskaidecagon or tridecaogn has a total 1980 degrees for its interior angles.

If the polygon has n sides, the sum of its interior angles is 180*(n-2) degrees.

The sum of the exterior angles of all polygons equals to 360⁰.Since only the sum of the interior angles of all quadrilaterals equals to 360⁰, the polygon must have 4 sides.

2280 :S

The sum of the interior angles of any regular polygon of n sides is equal to 180(n - 2) degrees.

1 a circle 360 interior angles 360 exterior agles

A [regular] hexagon.

Sum of interior angles = (n-2)*180 degrees = 1080 deg So (n-2) = 1080/180 = 6 => n = 8. The polygon is, therefore, an octagon. However, there is no reason to assume that the interior angles of this polygon are all the same - they could all be different with the only constraint being their sum. IF, and that is a big if, the polygon were regular, then all its angles would be equal and each interior angle = 1080/8 = 135 degrees.

It would actually be 180(n-2) where n equals the number of sides. For a pentagon, n =5 so sum of interior angles = 180(5-2) = 540. 540o is the sum of the interior angles for a pentagon.

The sum of interior angles equals: (number of sides - 2)*180that makes: (11-2)*180 = 1620

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