Question
Download Solution PDFIf each interior angle of a regular polygon is 144°, then the number of its sides is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Each interior angle = 144°
Formula used
Each interior angle = 180(n - 2)/n (n = no. of sides)
Calculation
Each interior angle = 144°
⇒ 180(n - 2) = 144n
⇒ n = 10
∴ The no. of side of polygon is 10.
Each interior angle = 144°
The each exterior angle = 180 - 144 = 36°
The number of sides = 360/36 = 10
∴ The no. of side of polygon is 10.
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