Math, asked by sanjaymore81878, 4 months ago

Find the number of sides of a regular
polygon if each of its interior angle is
3π/4​

Answers

Answered by itsbrainlybiswa
8

answer is in the attachment

hope it helps u

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Attachments:
Answered by sharma41abhay
9

Answer:

no. of sides = 8

Step-by-step explanation:

each interior angle = 3\pi/ 4

                               =  3 × 180°/4

                              =    3 × 45°

                               =    135°

   sum of all interior angles = 135°n        [ n = no. of sides ]                  

           135° n =  (n-2) × 180°

           135° n  = 180° n - 360°

           135°n - 180° n = -360°

            - 45° n  =  - 360°

              n   =  -360° / - 45°

              n  =   8

∴ no. of sides = 8        

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