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Understanding Quadrilaterals
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07/08/2021 10:15 am
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(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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07/08/2021 10:17 am
(a) Equilateral triangle is regular polygon with 3 sides has the least possible minimum interior angle because the regular with minimum sides can be constructed with 3 sides at least.
Since, sum of interior angles of a triangle = 180°
Each interior angle = \(\frac{180}{3}\) = 60°
(b) Equilateral triangle is regular polygon with 3 sides has the maximum exterior angle because the regular polygon with least number of sides have the maximum exterior angle possible.
Maximum exterior possible = 180 – 60° = 120°