What Is The Value Of Each Dodecagon Inner Angle?

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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What Is The Value Of Each Dodecagon Inner Angle?
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Rafaela Priori Gutler

Hi, I’m Rafaela Priori Gutler, a passionate interior designer and DIY enthusiast. I love transforming spaces into beautiful, functional havens through creative decor and practical advice. Whether it’s a small DIY project or a full home makeover, I’m here to share my tips, tricks, and inspiration to help you design the space of your dreams. Let’s make your home as unique as you are!

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