Answer

Verified

451.2k+ 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

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Why Are Noble Gases NonReactive class 11 chemistry CBSE

Let X and Y be the sets of all positive divisors of class 11 maths CBSE

Let x and y be 2 real numbers which satisfy the equations class 11 maths CBSE

Let x 4log 2sqrt 9k 1 + 7 and y dfrac132log 2sqrt5 class 11 maths CBSE

Let x22ax+b20 and x22bx+a20 be two equations Then the class 11 maths CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

How many crores make 10 million class 7 maths CBSE

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Fill the blanks with proper collective nouns 1 A of class 10 english CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Fill in the blanks A 1 lakh ten thousand B 1 million class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths