Answer
Verified
418.5k+ views
Hint: Sum of exterior of a regular polygon = ${360^{^0}}$. Use the equilateral triangle, which has maximum measures and where we know that triangle is the simplest polygon.
Let us consider a polygon with minimum number of side i.e. = $3$
As we know that triangle is simple polygon with number of sides =3
We know that Exterior angles of an equilateral triangle have the maximum measure.
And we also know that,
Sum of exterior angle of polygon = ${360^{^0}}$$ \to (1)$
Let us consider each exterior angle as $A$
By using $(1)$ we can write
$ \Rightarrow $$A + A + A = {360^0}$
$ \Rightarrow 3A = {360^0}$
$
\Rightarrow A = \dfrac{{{{360}^0}}}{3} \\
\Rightarrow A = {120^0} \\
$
Therefore, the maximum exterior angle possible for regular polygon =${120^0}$
Note: Focus on the angle given i.e. exterior or interior angles which includes maximum or minimum value.
Let us consider a polygon with minimum number of side i.e. = $3$
As we know that triangle is simple polygon with number of sides =3
We know that Exterior angles of an equilateral triangle have the maximum measure.
And we also know that,
Sum of exterior angle of polygon = ${360^{^0}}$$ \to (1)$
Let us consider each exterior angle as $A$
By using $(1)$ we can write
$ \Rightarrow $$A + A + A = {360^0}$
$ \Rightarrow 3A = {360^0}$
$
\Rightarrow A = \dfrac{{{{360}^0}}}{3} \\
\Rightarrow A = {120^0} \\
$
Therefore, the maximum exterior angle possible for regular polygon =${120^0}$
Note: Focus on the angle given i.e. exterior or interior angles which includes maximum or minimum value.
Recently Updated Pages
The branch of science which deals with nature and natural class 10 physics CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Define absolute refractive index of a medium
Find out what do the algal bloom and redtides sign class 10 biology CBSE
Prove that the function fleft x right xn is continuous class 12 maths CBSE
Find the values of other five trigonometric functions class 10 maths CBSE
Trending doubts
Difference Between Plant Cell and Animal Cell
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
How do you solve x2 11x + 28 0 using the quadratic class 10 maths CBSE
Select the correct plural noun from the given singular class 10 english CBSE
What organs are located on the left side of your body class 11 biology CBSE
The sum of three consecutive multiples of 11 is 363 class 7 maths CBSE
What is the z value for a 90 95 and 99 percent confidence class 11 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
How many squares are there in a chess board A 1296 class 11 maths CBSE