Question

The ratio of Interior angle to its exterior
angle is 3:1 Find the number of
side in the polygon​

Answer 1

$\huge{\dag} \: {\underline{\sf{\purple{\mathtt{ Answer}}}}}$

let the interior angle of the regular polygon be X.

therefore, the exterior angle is X/4.

Exterior angle + adjacent interior angle =1800 

4X+X=1800

45X=1800

X=1800×54

=1440

the interior angle is 1440

the exterior angle is 360

n=exteriorangle3600

=3603600=10

The number of sides of a regular polygon is 10.