Question

If an interior angle of a regular polygon measures 144°, how many sides does the polygon have?

Answer 1

It’s a polygonwith10sides
Exterior angle = 180 - Interior angle = 180 - 144 = 36Total sum of the exterior angles of a polygon = 360Therefore no. of sides N=36036=10It’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)⋅90144N−180N=−36036N=360N=10It’s a polygon with 10 sides.i hope u understand :)