Among the angles `30^(@), 36^(@), 45^(@), 50^(@)` one angle cannot be an exterior angle of a regular polygon. The angle is.
कोणों `30^(@), 36^(@), 45^(@), 50^(@)` में से एक कोण किसी सम बहुभुज का बाह्य कोण नहीं हो सकता। कोण है:

Options

A. `45^(@)`
B. `50^(@)`
C. `30^(@)`
D. `36^(@)`

Explanation

To determine which angle among \(30^\circ\), \(36^\circ\), \(45^\circ\), and \(50^\circ\) cannot be an exterior angle of a regular polygon, we can use the formula for the exterior angle of a regular polygon:

\[ \text{Exterior Angle} = \frac{360^\circ}{n} \]

where \(n\) is the number of sides of the polygon. The exterior angle must be a divisor of \(360^\circ\) and must correspond to a whole number of sides \(n\).

### Step 1: Check each angle

1. **For \(30^\circ\)**:
\[ n = \frac{360^\circ}{30^\circ} = 12 \]
(12 sides, valid)

2. **For \(36^\circ\)**:
\[ n = \frac{360^\circ}{36^\circ} = 10 \]
(10 sides, valid)

3. **For \(45^\circ\)**:
\[ n = \frac{360^\circ}{45^\circ} = 8 \]
(8 sides, valid)

4. **For \(50^\circ\)**:
\[ n = \frac{360^\circ}{50^\circ} = 7.2 \]
(Not a whole number, invalid)

### Conclusion
The angle that cannot be an exterior angle of a regular polygon is \(50^\circ\).