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

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Nikhil Reddy

Consider a regular polygon having the lowest possible number of sides (i.e., an equilateral triangle). The exterior angle of this triangle will be the maximum exterior angle possible for any regular polygon. Exterior angle of an equilateral triangle Hence, maximum possible measure of exterior angle...
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Consider a regular polygon having the lowest possible number of sides (i.e., an equilateral triangle). The exterior angle of this triangle will be the maximum exterior angle possible for any regular polygon. Exterior angle of an equilateral triangle Hence, maximum possible measure of exterior angle for any polygon is 120º. Also, we know that an exterior angle and an interior angle are always in a linear pair. Hence, minimum interior angle = 180º − 120° = 60º read less
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Engineering graduate from NIT Calicut, Rank holder (#47) in State Entrance Examination.

Minimum interior angle and maximum exterior angle are occurring in a polygon with the minimum number of sides. ie n=3 equilateral triangle. (i) Sum of interior angles=180° interior angle=180/3=60° (ii) Sum of exterior angles=360° exterior angle=360/3=120°
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Minimum interior angle and maximum exterior angle are occurring in a polygon with the minimum number of sides. ie n=3 equilateral triangle. (i) Sum of interior angles=180° interior angle=180/3=60° (ii) Sum of exterior angles=360° exterior angle=360/3=120° read less
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