waecmaths question:
Each interior angle of a regular polygon is 162o. How many sides has the polygon?
Option A:
8
Option B:
12
Option C:
16
Option D:
20
waecmaths solution:
The sum of the an interior angle and its exterior angle is 180o {sum of angles on a straight line}
Exterior angle of the polygon =180o -162o = 18o
The sum of all the exterior angles is 360o
Therefore, 18on =360o
n =20. (It has 20 sides)
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