In `Delta ABC,` if AB=AC and `angleB=50^(@), " then " angleC ` is equal to

Options

A. `40^(@)`
B. `50^(@)`
C. `80^(@)`
D. `130^(@)`

Explanation

To solve the problem, we need to find the measure of angle C in triangle ABC, given that AB = AC and angle B = 50 degrees.

### Step-by-Step Solution:

1. **Identify the Given Information:**
- We have triangle ABC.
- It is given that AB = AC (this indicates that triangle ABC is an isosceles triangle).
- Angle B = 50 degrees.

2. **Use the Property of Isosceles Triangles:**
- In an isosceles triangle, the angles opposite the equal sides are equal. Since AB = AC, the angles opposite these sides (angle B and angle C) must be equal.
- Therefore, angle C = angle B.

3. **Substitute the Value of Angle B:**
- Since angle B = 50 degrees, we can substitute this value into our equation.
- Thus, angle C = 50 degrees.

4. **Conclusion:**
- Therefore, angle C is equal to 50 degrees.

### Final Answer:
Angle C = 50 degrees.