Find the measures of an interior angle and an exterior angle of a regular 12-gon

The interior angle of 12-gon is  

The exterior angle of 12-gon is

Step-by-step explanation:

Given as :

A regular 12-gon is a dodecagonal polygon

i.e The number of sides of the polygon = n = 12

Let The exterior angle of 12-gon = x°

And Let The interior angle of 12-gon = y°

Now,

∵ Exterior angle =

So, exterior angle of 12-gon =

Or, x =

∴ x =

So,The exterior angle of 12-gon = x =

Again

∵ Interior angle = - exterior angle

So, interior angle of 12-gon = - exterior angle

Or, y =   -  

∴ y =  

So,The interior angle of 12-gon = y =

Hence, The interior angle of 12-gon is and The exterior angle of 12-gon is . Answer

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step-by-step explanation: