Question

For a regular polygon the value of its interior angle and external angle both are a square number,what is the number of sides? ( No useless answers please )

Answer 1

Step-by-step explanation:

the ans is 7

please mark my answer brainliest

Answer 2

Step-by-step explanation:

Given:-

For a regular polygon the value of its interior angle and external angle both are a square number.

To find:-

what is the number of sides?

Solution:-

An exterior angle of the regular polygon of "n" sides=(n-2)×180°/n-----(1)

An interior angle of the regular polygon of "n" sides=360°/n-------(2)

given that "For a regular polygon the value of its interior angle and external angle both are a square number".

=>(n-2)×180°/n=a²(square number)---(3)

and 360°/n=a²(square number)----(4)

from (3)&(4)

=>(n-2)×180°/n=360°/n

=>(n-2)×180°=360°

=>n-2=360°/180°

=>n-2=2

=>n=2+2

=>n=4

value of n=4

Answer:-

Number of sides in the given polygon=4

It is a square.