UPSC 2016 CDS I Math Paper

Remember: Each exterior angle of a regular polygon of n sides=

360°

n

Now,

360°

70°

≠ an integer
So, there exists no regular polygon whose exterior angle is 70°.
Hence, statement 1 is incorrect.
For n ≥ 5,
Each exterior angle of a regular polygon ≤

360°

5

=72°
Thus, the exterior angle of any regular polygon of n (n ≥ 5) sides is acute.
Hence, statement 2 is correct.