Question

Calculate the number of sides of a regular polygon whose interior angles are each 156 degree.
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Answer 1

Step-by-step explanation:

The number of degrees in each angle of a regular polygon with n sides is 180(n-2)/n .

180(n-2)/n = 156, 180(n-2) = 156n,

So 24n = 360, n = 360/24 = 15 sides

Answer 2

Answer:

hope it will help

Step-by-step explanation:

Each interior angle of regular polygon = 156

number of sides (n) = ?

we know,

Each interior angle of regular polygon = ( n-2)×180÷n

                                                 156 = 180n - 360 ÷n

                                                 do cross multiply

                                                   156n = 180n - 360

                                                   360 =  180n - 156n

                                                   360 =  24n

                                              360÷24=  n

                                                  15  = n

  Therefore, number of sides = 15