How many sides does a regular polygon have if its each angle is of mea – InterviewSolution

InterviewSolution

1.

How many sides does a regular polygon have if its each angle is of measure 108° ?1. 82. 53. 64. 7

Answer» Correct Answer - Option 2 : 5

Concept

Measure of each interior angle of a regular polygon with 'n' sides = 180°(n - 2)/n

Calculation

Interior angle = 180°(n - 2)/n = 108º

⇒ 180ºn - 360º = 108ºn

⇒ (180º - 108º)n = 360º

⇒ 72º × n = 360º

∴ n = 360º/72º = 5

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