6. (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?
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Answer:
(a)The minimum number of a sides of a polygon=3
The regular polygon of 3 sides is an equilateral triangle
∴ Each interior angle of an equilateral triangle =60°
Hence the minimum interior angle possible for a regular polygon is 60°
(b) The sum of an exterior and it's corresponding interior angle is 180°
and minimum interior angle of a regular polygon =60°
∵Hence the maximum exterior angle of a regular polygon = 180°-60°=120°
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