6. (a) What is the minimum interior angle possible for a regular polygon? Why?

Answers (1)

Consider a polygon with lowest number of sides i.e. 3.

Sum of interior angles of 3 sided polygon = \left ( 3-2 \right )\ast 180\degree=180\degree

Interior angles of regular polygon are equal = A .

   \therefore                     A+A+A=180\degree

                                        3\ast A=180\degree

                                                A=60\degree

Hence,the minimum interior angle possible for a regular polygon is 60\degree.

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