A dodecagon is a polygon with twelve sides, each measuring 150° and the other 30°. The name resembles words like pentagon or octagon because the prefix is a Greek numeral describing how many sides there are. The interior angles of a regular dodecagon are equal to 150°, and the exterior angles are equal to 30°. The 10 triangles formed by the diagonals of a regular dodecagon are congruent.
To find the sum of interior angles for an n-sided polygon (regular or irregular), use the formula: Sum of interior angles = (n − 2) x 180° = 1800°. Each interior angle is equal to 150° and each exterior angle is equal to 30°. The total interior angle measurement for a dodecagon is 1,440 degrees.
The properties of a dodecagon include 12 equal sides, each with a measure of 150°. To calculate the interior angle, use the formula: 180n–360n 180 n – 360 n, where n is the number of sides. The internal angle at each vertex of a regular dodecagon is also equal to 150°.
A regular skew dodecagon is vertex-transitive with equal edge lengths. The final answer is that the measure of the interior angle of a regular dodecagon is 150 degrees. To find this, use the formula (180n – 360)/n, where n is the number of sides of the polygon.
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