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Question
Each external angle of a polygon is 20°. How many sides does it have?
Each external angle of a polygon is 20°. How many sides does it have?
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Solution
Measure of each external angle of the given polygon = 20°
We know that in a polygon, the sum of all the external angles = 360°
Let the given polygon has n external angles.
⇒ 20 × n = 360°
⇒ n = 18
Thus, the given polygon has 18 sides.
Measure of each external angle of the given polygon = 20°
We know that in a polygon, the sum of all the external angles = 360°
Let the given polygon has n external angles.
⇒ 20 × n = 360°
⇒ n = 18
Thus, the given polygon has 18 sides.
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