Question

what is the radian measure of interior angle of regular Pentagon​

Answer 1

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A regular pentagon has 5 sides, 5 interior and 5 exterior angles. Each exterior angle is 360/5 = 72 degrees and each interior angle is 180–72 = 108 degrees. 180 degrees = (pi) radians, so 108 degrees = (108/180) radians or (3/5) radians. So the interior angle is 108 degrees or (3/5) radians.

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Answer 2

Step-by-step explanation:

Pentagon : exterior angle = 72° or 2π / 5 and interior angle= 108° or 3π / 5. Hexagon : exterior angle = 60° or π / 3 and interior angle= 120° or 2π/ 3. Septagon : exterior angle = (360° / 7) or 51.42° or 2π / 7 and interior angle= 900° / 7 or 128.57° or 5π .

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