If an exterior angle of a regular polygon is 45°, then find the number of its sides.
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Answered by
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if we divide 360 by 45 we will get 8, its have 8 sides
saisrinadhch:
thank you
Answered by
49
Hello!
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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❤
__________________________________________________________________✨
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❤
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