Question

If each interior angle of a polygon is 144° Find the number of sides of the polygon.

Answer 1

Answer Step-by-step explanation:

Since the interior angle of a polygon is
`144`° each exterior angle will be :
`180`°
`-`
`144`°
`=36`°

We know that For any convex polygon the sum of exterior angles is
`360` degrees.

Hence, the number of sides = the number of vertices = which is :
`(360)/(36) =10`

So your answer is :

Your polygon is a decagon with 10 sides.