if the polygon has interior 162° .then how many sides the polygon has.. please say me step by step About the author Josie
The exterior angle is 18°. The sum of all exterior angles is 360°. The regular polygon will have 20 sides. Alternatively, Use the formula : Total of all interior angles of polygon = (N-2)*180 N is no.of sides of polygon. N*162=(N-2)*180. N/(N-2) =10/9 N= 20 ━━━━━━━━━━━━━━━━━━━━━━━━━━ Reply
The exterior angle is 18°. The sum of all exterior angles is 360°.
The regular polygon will have 20 sides.
Alternatively,
Use the formula : Total of all interior angles of polygon = (N-2)*180 N is no.of sides of polygon.
N*162=(N-2)*180.
N/(N-2) =10/9
N= 20
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