CTET Feb16p2, q33
0. How many sides does a regular polygon have if its each angle is of measure 108°?
- Option : D
- Explanation : Given, each angle of regular polygon = 108°
We know,
Angle of regular polygon = 180° - 360°/n
∴ 180° - 360°/n = 108°
∴ 180°n - 360° = 108°n
⇒ 180°n - 108°n = 360°
⇒ 72°n = 360°
⇒ n = 360°/72° = 5.
∴ Number of sides of the givcn polygon =5.
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