Find the number of sides of a regular polygon, in which each exterior angle is 18°
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Answer:
20
As each exterior angle of a regular polygon is 18°. ∴ The number of sides of the polygon is 20 when each exterior angle is 18°.
Step-by-step explanation:
Given:
Each exterior angle of a polygon is 18°.
Concept used:
The sum of the exterior angles of a polygon is 360°.
Formula used:
Number of sides of polygon = 360°/each exterior angle
Calculation:
As each exterior angle of a regular polygon is 18°.
⇒ Number of sides of regular polygon = 360°/18° = 20
∴ The number of sides of the polygon is 20 when each exterior angle is 18°.
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