TS ICET 2017 Question Paper with Solutions for online practice

Question : 137 of 200

Marks: +1, -0

In a polygon the ratio of the internal angle to the external angle at any vertex is 7 : 2. The number of sides of the polygon

Solution:

Internal angle

=7/8×180°=140°

Internal angle of a polygon

=({n-2}/n)180°=140°

⇒{n-2}/n=140/180

⇒1-2/n=7/9⇒2/n=2/9

∴n=9

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