Math, asked by ayesharana73677, 10 months ago

.prove that the interior angle of a regular pentagon is three times the exterior angle of regular decagon ​

Answers

Answered by smruthi7777
4

Answer:

total sum of angles for a pentagon - (5-2)*180 = 560

total sum of angles for a decagon - (10-2)*180 = 1440

interior angle of a regular pentagon - 560/5 = 108

interior angle of a regular decagon - 1440/10 = 144

exterior angle of a regular decagon = 180-144 = 36

108 = 36(3)

As the interior angle is 108 degrees and the exterior angle is 36.  

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