Question
Download Solution PDFFind the number of sides of a polygon whose sum of all interior angle is 2160°?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Sum of all interior angles = 2160°
Formula used:
Sum of interior angles of polygon = (n - 2) × 180°
Where 'n' is the number of sides of the polygon.
Calculation:
∵ The sum of all the angles of the polygon = 2160°
⇒ (n - 2) × 180° = 2160°
⇒ n - 2 = 2160°/180°
⇒ n - 2 = 12
⇒ n = 12 + 2
⇒ n = 14
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