Question

find the number of sides of a regular polygon whose interior angle measures 162 degree

Answer 1

We know thatExterior angle = 180°- interior  angle
⇒Exterior angle=180°-162°⇒ Exterior angle=18° So number of sides=360°18°=20 sides

hope it helps you!!

Answer 2

 The angle at the center is 180-162=18 deg and 360/18=20 so the polygon has 20 sides.