Answer :

Ratio of the inner and outer angle = 7 2

Let, inner angle = 7x and outer angle = 2x


According to problem,


7x + 2x = 180°


9x = 180°


x = 180°/9


x = 20°


Inner angle = 7x = 7 × 20° = 140°


Outer angle = 2x = 2 × 20° = 40°


No. of sides of the polygon,


360°/outer angle


360°/40°


9


The polygon have 9 sides.


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