Question

If an exterior angle of a regular polygon is 45°, then find the number of its sides.

Answer 1

if we divide 360 by 45 we will get 8, its have 8 sides

Answer 2

Hello!

__________________________________________________________________✨

Good noon and Here's your answer:

➡Sum of exterior angles = 360 degrees

no of sides(n) = sum of exterior angles of a regular polygon / given exterior angle of the regular polygon

⇒360/45

⇒8 sides.

➡ADDITIONAL:

( FINDING NUMBER OF DIAGONALS),

no of diagonals= n(n-3)/2⇒8(8-3)/2⇒8(5)/2⇒40/2⇒20 diagonals

Therefore, number of sides are 8 and number of diagonals are 20

__________________________________________________________________✨

Hope this cleared your doubt ☺

#BE BRAINLY❤