Exterior angle = 180 - Interior angle = 180 - 144 = 36
Total sum of the exterior angles of a polygon = 360
Therefore no. of sides N=36036=10
It’s a decagon.
Aliter :
A polygon with N sides will have the sum of the interior angles = (2N−4) right angles
∴144⋅N=(2N−4)⋅90
144N−180N=−360
36N=360
N=10
It’s a polygon with 10 sides.
i hope u understand :)