Question
Download Solution PDFIf the external angle of a polygon is 45° then find the number of diagonal in this polygon.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
External angle = 45°
Formula used:
External angle = (360°/n)
Number of diagonal of a n side polygon = (n2 - 3n)/2
Where, n = Equal to the number of side of a polygon
Calculation:
External angle = (360°/n)
⇒ 45° = (360°/n)
⇒ n = 8
Now, Number of diagonal of a 'n' side polygon
⇒ (n2 - 3n)/2
⇒ (64 - 24)/2
⇒ 20
∴ The number of diagonal is 20.
Last updated on Jul 10, 2025
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