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Find the magnitude, in radians and degre...

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

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To find the magnitude of the interior angles of regular polygons (pentagon, octagon, heptagon, and duodecagon) in both radians and degrees, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the formula**: The sum of the interior angles of a polygon with \( n \) sides is given by the formula: \[ \text{Sum of interior angles} = (n - 2) \times 180^\circ ...
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