Find the magnitude, in radians and degrees, of the interior angle of a regular duo-decagon.

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None of these

answer is B.

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Detailed Solution

Concept- One of the polygonal shapes with 12 sides, 12 vertices, and 12 angles is the dodecagon. A dodecagon is a two-dimensional plane figure, just like other polygons. 12 equal sides and 12 equal angles make up a standard dodecagon polygon. Dodecagons that are irregular have unequal sides and angles. In this given question we have given duo decagon . and it is a polygon with 12 edges and 12 angles And we need to find the interior angle .
We know that the sides of duo-decagon is 12
Then number of triangle will be

So the angle of duo-decagon in radians is

Now to convert the angle from the radian we will keep the value of π is 1800
Now, we will get

So, the answer is

Hence, the correct answer is option 2)

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