Correct Answer - Option 3 : 15
Concept:
Polygon of n sides,
-
Interior angle + exterior angle = 180°
- Each interior angle of polygon = \(\rm \left ( n-2 \right )\times \frac{180^{0}}{n}\) .
Calculation:
We know that , interior angle + exterior angle = 180°
⇒ Interior angle + 24° = 180°
⇒ angle of polygon = 1560
∴ 156 = \(\rm \left ( n-2 \right )\times \frac{180^{0}}{n}\)
⇒ 26n = 30n - 60
⇒ 4n = 60
⇒ n = 15
The correct option is 3.