Question

The sum of angles of a
polygon is 900, how many
sides does it have -

9
8

6
7​

Answer 1

Sum of exterior angles of any polygon is always 360°, it can never be 900°. Hence, there cannot be any polygon like this.

It appears that by error the word "exterior" has been mentioned. In case sum of interior angles is 900°,

Sum of all the angles is 900° + 360° = 1260°

But sum of each pair of interior and exterior angles is 180°

We have, $\frac{1260°}{180°}$ = 7 pairs

and hence polygon has 7 sides.