Plane Geometry
- If each interior angle of a regular polygon is 150°, the number of sides of the polygon is
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Given , each interior angle of a regular polygon = 150°,
If the number of sides of regular polygon be n, then(2n - 4) × 90° = 150° n
⇒ 3(2n – 4) = 5n
Correct Option: D
Given , each interior angle of a regular polygon = 150°,
If the number of sides of regular polygon be n, then(2n - 4) × 90° = 150° n
⇒ 3(2n – 4) = 5n
⇒ 6n – 12 = 5n
⇒ n = 12.
