Assertion: In `DeltaABC, AB=AC and angleB=50^(@)`, then `angleC` is `50^(@)`
Reason : In a triangle, angles opposite to equal sides are equal.
(a) Assertion and reason both are correct and reason is the correct explanation for the assertion.
(b) Assertion and reason both are correct and reason is not the correct explanation for the assertion.
(c) Assertion is correct but reason is wrong.
(d) Reason is correct but assertion is wrong.

Answer

To solve the question, we need to analyze the assertion and the reason given.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that in triangle ABC, \( AB = AC \) and \( \angle B = 50^\circ \). We need to determine if \( \angle C \) is also \( 50^\circ \).

2. **Understanding the Reason**:
- The reason provided is that in a triangle, angles opposite to equal sides are equal. This is a fundamental property of triangles.

3. **Applying the Property**:
- Since \( AB = AC \), by the property of triangles, the angles opposite these equal sides must also be equal. Therefore, \( \angle C \) (opposite side AB) must equal \( \angle B \) (opposite side AC).

4. **Calculating \( \angle C \)**:
- Given \( \angle B = 50^\circ \), we can conclude that \( \angle C \) must also be \( 50^\circ \) because they are opposite equal sides.

5. **Conclusion**:
- Both the assertion and the reason are correct. The reason correctly explains why the assertion is true, as the angles opposite to equal sides in a triangle are indeed equal.

### Final Answer:
(a) Assertion and reason both are correct and reason is the correct explanation for the assertion.