What Is The Number Of Inner Angles In A Dodecagon?

A dodecagon is a polygon with twelve sides, 12 vertices, and 12 angles. It shares similarities with words like pentagon or octagon due to the Greek numeral prefix describing how many sides there are. The sum of interior angles for an n-sided polygon (regular or irregular) is calculated using the formula: Sum of interior angles = (n – 2) × 180 °. All dodecagons have interior angles that sum to 1800°, exterior angles that sum to 360°, and diagonals that divide it into 10 triangles drawn from its vertices.

In a regular 12-sided polygon, each angle is identical, meaning each angle measures 150°. The total interior angle is 2 x 12 – 4 right angles, or 20 right angles, or 1800 degrees. In a regular dodecagon, each angle measures 150°.

A dodecagon can be regular, irregular, concave, or convex depending on its properties. Each interior angle in a regular dodecagon is equal to 150°, and each exterior angle is equal to 30°. There are 54 diagonals in a dodecagon.

The sum of the measures of the interior angles of a 12-gon is 1800°. A regular dodecagon is one in which the vertices are spaced equally around a circle. The name “dodeca” means twelve and “gono” means angle.

In summary, a dodecagon has unique properties, such as having 12 equal sides and 12 equal measures of angles. It can be regular, irregular, concave, or convex depending on its properties.