Math, asked by saisrinadhch, 1 year ago

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

Answers

Answered by yunuskhanj786
20

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


saisrinadhch: thank you
Answered by BubblySnowflake
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

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Hope this cleared your doubt ☺

#BE BRAINLY❤
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