Each interior angle of a regular polygon of n sides is $$144^o$$​. The number of sides (n) of the polygon is:

Correct option is C

Given: ​

Each angle of interior angle of polygon = 144⁰ 

Formula Used: ​

Each interior angle = $$\frac{180(n-2)}{n}$$ 

where n = no. of side

Solution: ​

Applying the formula;

​$$144 = \frac{180(n-2)}{n} \\ \ \\ 144n -180n = -2\times 180 \\ \ \\ 36n = 2 \times 180 \\ \ \\ n = \frac{2 \times 180}{36} \\ \ \\ n = 10$$

Thus, the number of side of polygon is 10