CTET 2 Math and Science Sep 2014 Paper

Question : 47 of 120

Marks: +1, -0

The sum of all interior angles of a polygon is 1440°. The number of sides of the polygon is

Solution:

Interior angle of a polygon

=180(n–2)

According to question

180(n-2)=1440

⇒180n-360=1440

⇒180n=1440+360

⇒180n=1800

∴n=\;\;{1800}/{180}=10

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