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Question

The interior angle of a regular pentagon is four times the exterior angle of a regular decagon. State the whether the given statement is correct or not.


  1. True

  2. False


Solution

The correct option is B

False


Interior angle of a regular pentagon

=(2n4)n×90=(65)×90=108Exterior angle of regular decagon=180(2n4)n×90=180(1610)×90=180144=36So,108=3×36

It is three times the exterior angle of a regular decagon. Hence, given statement is false.

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