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The formula to determine the sum of the interior angles of any regular polygon with n sides is (n-2) * 180. This means the measure of one angle is 168.4 degrees.

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Q: What is the measure of one angle of a regular convex 31-gon?
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What is the measure of each interior angle in a regular convex nonagon?

140 degrees.


What is the measure of one angle of a regular convex 80 gon?

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The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.The sum is always 360 degrees. Note, though, that when the interior angle is convex, the measure of the exterior angle is negative.


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The easiest way to calculate this is to use the facts thatthe sum of the interior and exterior angles is 180o; andthe sum of the exterior angles of any polygon is 360o.For a regular polygon, each exterior angle will be 360o divided by the number of sides. The interior angle is then 180o - the exterior angle.For a 31-gon:exterior_angle = 360° ÷ 31= 1119/31o⇒ interior_angle = 180° - 1119/31o= 16812/31°≈ 168.39oUse the Interior Angle Formula directlyThe sum of interior angles for a polygon of n sides is (n-2) x 180° and individual angles for a regular polygon will be (n-2) 180°/nPlugging in the value n=31, we have one angle = 29(180)/31 = 168.39°


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Any polygon that has an angle that is > 180º is a concave polygon. A convex polygon does not. e.g. All regular polygons are convex.


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An interior angle of a convex heptagon can have any value in the range (0, 180) degrees.


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