An angle having equal arms possesses how many lines of symmetry ? Show all possible lines of symmetry in such an angle.

Answer

To solve the question about an angle with equal arms and its lines of symmetry, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Angle**:
- An angle with equal arms is known as an isosceles angle. This means that the two sides (or arms) of the angle are of equal length.

2. **Identifying the Vertex**:
- The point where the two arms meet is called the vertex of the angle.

3. **Finding the Line of Symmetry**:
- A line of symmetry is a line that divides a shape into two identical parts. For an isosceles angle, the line of symmetry will pass through the vertex and bisect the angle into two equal angles.

4. **Drawing the Line of Symmetry**:
- To visualize this, draw the angle with equal arms. Then, draw a line from the vertex that goes straight down the middle of the angle, dividing it into two equal parts. This line is the line of symmetry.

5. **Conclusion**:
- An angle with equal arms has exactly **one line of symmetry**.

### Possible Lines of Symmetry:
- The only line of symmetry in an isosceles angle is the one that runs from the vertex to the midpoint of the opposite side (if extended) or simply bisects the angle.

### Final Answer:
An angle having equal arms possesses **one line of symmetry**.

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