Dodecagon Interior Angles

Sum of all interior angles of n sided regular polygon equals to n 2 180o.

Dodecagon interior angles. 150 like any regular polygon to find the interior angle we use the formula 180n 360 n. Also each exterior angle has a measure of 36. The interior angles of a dodecagon are a bit harder.

Since the sum of the angles of a triangle is 180 the sum of the interior angles of a dodecagon is 8 180 1440. The total number of diagonals of a dodecagon is 54. See interior angles of a polygon.

So the sum of the interior angles of a dodecagon is 1800 degrees. Exterior angle of a dodecagon 12 sided regular polygon is supplementary to its interior angle. Also each exterior angle has a measure of 30 since the exterior angle and interior angle form a straight angle.

How much degrees is there in a dodecagon. A regular dodecagon has equal interior angle measures. You can use this generic formula to find the sum of the interior angles for an n sided polygon regular or irregular.

The sum of all the exterior angles of a polygon is always 360 i e so for dodecagons each angle is of 30. Sum of interior angles n 2 x 180 sum of interior angles 10 x 180 1800 once you know the sum you can divide that by 12 to get the measure of each interior angle. A regular dodecagon is represented by the schläfli symbol 12 and can be constructed as a truncated hexagon t 6 or a twice truncated triangle tt 3.

Therefore sum of interior angles of 12 sided polygon is. One interior angle of a regular dodecagon is 150 which sums up to a total of 1800. Sides and angles of dodecagon to be considered a regular dodecagon each side has to have the same length and therefore each angle will have the same measurement which happens to be 150 degrees.