Questioner has mentioned that a polygon has interior angles of
162
o
. It is assumed from this that all interior angles are
162
o
.
As interior angles are
162
o
, each exterior angle is
180
o
−
162
o
=
18
o
.
Sum of all the exterior angles of a polygon is always
360
o
and as each exterior angle is
18
o
,
Number of angles / sides of polygon are
360
o
18
o
=
20
Place a thanks if helps mate