find number of sides of a polygon whose exterior and interior angles are in the ratio of 2:7
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As sum of all exterior angles is 360∘ , total number of sides must be 360∘40∘=9 and polygon is nonagon. If it is not a regular polygon, 7:2 ratiomust be between sum of all interior angles and sum of all interior angles. and n=7+2=9 and polygon is a nonagon.
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