Quantitative Aptitude Ques 1593

Question: An interior angle of a regular polygon is 5 times its exterior angle. Then, the number of sides of the polygon is

Options:

A) 14

B) 16

C) 12

D) 18

Show Answer

Answer:

Correct Answer: C

Solution:

  • Let the measure of exterior angle be $ x{}^\circ . $ Then, measure of interior angle $ =5x{}^\circ $ Now, Interior angle + Exterior angle $ =180{}^\circ $

$ \Rightarrow $ $ 5x{}^\circ +x{}^\circ =180{}^\circ $

$ \therefore $ $ x{}^\circ =\frac{180}{6}=30{}^\circ $

$ \therefore $ Total sides of polygon $ =\frac{360{}^\circ }{Exteriorangle}=\frac{360{}^\circ }{30{}^\circ }=12 $

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