Question

Find the number of sides in a regular polygon, if its each interior angle is :
${160}^o$

Answer 1

All the exterior angles add up to ${360}^o$

$1$ exterior angle $+1$ interior angle

$={180}^o$

work with the exterior angles

In this Case:

$1.Int.<=180-160={20}^o$

No. of sides $=\frac{360}{20}=18$