## What is the minimum interior angle possible for a regular polygon? Why?

Question

What is the minimum interior angle possible for a regular polygon? Why?

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Mathematics
2 years
2021-07-08T04:02:36+00:00
2021-07-08T04:02:36+00:00 1 Answers
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## Answers ( )

Answer:For a regular polygon, as the number of sides increase, interior angle also increases and exterior angle decreases.

Therefore, polygon with minimum interior angle and maximum exterior angle is an equilateral triangle, as it has a minimum number of sides possible for a polygon i.e., 3.

(a) Interior angle of equilateral triangle is 60

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, which is the minimum interior angle possible for the regular polygon.

(b) Exterior angle of an equilateral triangle is 180

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−60

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=120

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, which is the maximum exterior angle possible for the regular polygon.

Step-by-step explanation:answer