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Q.

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


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a

  Question Image              

b

  Question Image              

c

  Question Image              

d

  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 Question ImageSo the angle of duo-decagon in radians is Question Image     Question ImageNow to convert the angle from the radian we will keep the value of π is 1800
Now, we will get Question ImageSo, the answer is Question ImageHence, the correct answer is option 2)  Question Image 
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