Question

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

Answer 1

heyy dear ☺☺❤
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Añswèr=>
A regular polygon is a polygon in which all angles are equal in measure and all sides have the same length.Examples are equilateral triangle,square etc.
Here we have to find the maximum exterior angle possible for a regular polygon.
For exterior angle to be maximum,the corresponding interior angle must be minimum and this is possible only when the regular polygon is an equilateral triangle because as you increase the number of sides of the polygon,the measure of interior angle goes on increasing.

For example let the case of an equilateral triangle and a square.
Interior angle measurement for an equilateral triangle is 60° and for a square is 90° .Hence it is clear that as we increase the number of sides,measure of interior angle goes on increasing.

Hence minimum interior angle possible for a regular polygon is 60° and this is for equilateral triangle and as we know that sum of interior angle and its corresponding exterior angle is 180°. Hence maximum possible exterior angle is (180°-60°) = 120°

More explanation:-

Let the measure of interior angle be x and that of corresponding exterior angle be yNow x+y=180°Here if x is minimum ,then y is maximum  and x is minimum in case of an equilateral triangle.Hence y is maximum in case of equilateral triangle.Hence x=60° and y =120° .






hope it's help uuu ☺❤






 

Answer 2

Hi dear here is ur answer ✌✌

The maximum exterior angle possible for a regular polygon is 120∘



And minimum interior angle possible for a regular polygon is 60.

which are both in cases of equilateral triangle.


i hope it helps u buddy ✌✌

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