CTET 2 Math and Science Sep 2015 Paper

Question : 39 of 120

Marks: +1, -0

The measure of each interior angle of a regular convex polygon is 156°. The number of sides of the polygon is :

Solution:

We know that
Sum of all the Internal angles of polygon

=180×(n-2)

According to question

180(n-2)=156×n

⇒180n-360^{∘}=156n

⇒180n-156n=360

24n=360

n=\;\;{360}/{24}=15

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