Find the magnitude, in radians and degrees, of the interior angle of a regular (i) pentagon                (ii) octagon (iii)     heptagon                (iv) duodecagon.

Explanation

To find the magnitude of the interior angles of regular polygons (pentagon, octagon, heptagon, and duodecagon) in both radians and degrees, we can use the following formulas:

1. The sum of the interior angles of a polygon with \( n \) sides is given by:
\[ \text{Sum of interior angles} = (n - 2) \times 180^\circ \]
or in radians:
\[
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