find the number of sides of regular polygon whose each exterior angle has a measure of 45 (by step by step )
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find the number of sides of regular polygon whose each exterior angle has a measure of 45 (by step by step )
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Verified answer
Exterior angle of a regular polygon = 45°
Number of sides of regular polygon.
Given that
Let assume that
We know that,
Hence,
Additional Information :-
In regular polygon, of n sides,
Step-by-step explanation:
Question:- Find the number of sides of regular polygon whose each exterior angle has a measure of 45°
Solution:- Let the number of sides be n
Sum of all exterior angle of n side regular polygon = 360°
∴ each exterior angle = 360°/n
According to question 45° = 360°/n
➥ 45° n = 360°
➥ n = 360°/45° = 8
➥ n = 8
Number of sides = 8 Ans.
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