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(b) What is the maximum exterior angle possible for a regular polygon?

6. (b) What is the maximum exterior angle possible for a regular polygon?

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Let there be  a polygon with minimum number of sides i.e. 3.

Exterior angles a equilateral triangle has maximum measure.

 Sum of exterior angles of polygon = 360\degree

Let exterior angle be A.

\therefore           A+A+A=360\degree

                     3\ast A=360\degree

                            A=120\degree

Hence,the maximum exterior angle possible for a regular polygon is 120\degree.

 

 

 

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