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(a)  What is the minimum interior angle...

(a)  What is the minimum interior angle possible for a regular polygon? Why?
(b) What is the maximum exterior angle possible for a regular polygon?

Text Solution

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The interior angle increases and exterior angle decreases as the number of sides increases for a regular polygon.
Therefore, minimum number of sides possible for a polygon with minimum interior angle and maximum exterior angle is an equilateral triangle i.e., 3.
(a) Minimum interior angle possible for the regular polygon = Interior angle of equilateral triangle = `60^0`
(b) Maximum exterior angle possible for a regular polygon = Exterior angle of equilateral triangle = `180^0-60^0 = 120^0`
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