Question
Download Solution PDFIf each interior angle of a regular polygon is 135°, then find the number of diagonals of the polygon.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFEach interior angle of a regular polygon is 135,
⇒ Exterior angle = 180° - Interior angle = 45°
⇒ Number of sides of polygon = 360°/Exterior angle = 8
∴ Number of diagonals = n(n - 3)/2 = 8 × (8 - 3)/2 = 20, where n is the number of sides of a polygon.Last updated on Jun 2, 2025
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