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Q: What is the size of each interior angle of a regular polygon that has 27 diagonals?

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If it is a regular polygon with each interior angle of 120 degrees then it is an hexagon which will have 0.5((6^2)-3*6) equals 9 diagonals

No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more. No regular polygon can have an interior angle of 180 degrees or more.

160

The interior angle of an octdecagon, an 18 sided regular polygon, is 160o.

A regular polygon having an interior angle measure of 168o has 30 sides and is called a triacontagon.

Each exterior angle of a regular polygon with n sides is 360/n degrees. Each interior angle of a regular polygon is 180 - Exterior angle. A direct formula for the interior angle is 180*(n-2)/n degrees.

If each interior angle is 178 degrees then the regular polygon will have 180 sides.

A regular polygon with each interior angle measuring 120 degrees is a hexagon.

The interior angle of a regular polygon with x sides is 180(x-2)/x. As a result, each angle of a regular 50-sided polygon is 172.8.

No.

There is no regular polygon with an interior angle of 20o. If the interior angle is 120o then there are six sides and the sum of the angles is 720o.

The measure of each interior angle of a fifteen sided regular polygon, a pendedecagon, is 156o.

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