Question 1093136
.
Since the interior angle is 144 degree, each exterior angle is 180 - 144 = 36 degrees.


For any convex polygon (in particularly, for any regular polygon) the sum of exterior angles is 360 degrees.


Hence, the number of sides = the number of vertices = {{{360/36}}} = 10.


<U>Answer</U>.  Your polygon is decagon with 10 sides (vertices).