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If the external angle of a polygon is 45° then find the number of diagonal in this polygon.
- a)20
- b)40
- c)15
- d)30
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If the external angle of a polygon is 45° then find the number of ...
Given:
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.
Community Answer
If the external angle of a polygon is 45° then find the number of ...
If the external angle of a polygon is 45 degrees, it means that the sum of all the internal angles of the polygon is 180 - 45 = 135 degrees.
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If the external angle of a polygon is 45° then find the number of diagonal in this polygon.a)20b)40c)15d)30Correct answer is option 'A'. Can you explain this answer?
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