Question
Download Solution PDFFind the number of diagonals of a regular polygon in which each of the exterior angles 24°.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGIVEN :
Each of the exterior angles 24°
CONCEPT :
Sum of exterior angles of a regular polygon = 360°
FORMULA USED :
Each of the exterior angles of a regular polygon = 360/n
And
Number of diagonals = n(n – 3)/2
Where n = number of sides
CALCULATION :
Number of sides = 360/24 = 15
So,
Number of diagonals = (15 × 12)/2 = 90Last updated on Jun 11, 2025
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