Which one of the following statements is true?

Options

A. A regular polygon of 10 sides has 10 lines of symmetry.
B. A circle has no line of symmetry
C. An angle has two lines of symmetry.
D. A regular hexagon has only 4 lines of symmetry.

Answer

To determine which statement is true among the given options, we need to analyze each statement carefully.

### Step-by-Step Solution:

1. **Understand the Statements**: We have four statements to evaluate:
- A) A regular polygon of 10 sides has 10 lines of symmetry.
- B) A circle has no lines of symmetry.
- C) An angle has two lines of symmetry.
- D) A regular hexagon has only four lines of symmetry.

2. **Evaluate Statement A**:
- A regular polygon with \( n \) sides has \( n \) lines of symmetry.
- For a regular polygon of 10 sides (decagon), it indeed has 10 lines of symmetry.
- **Conclusion**: Statement A is true.

3. **Evaluate Statement B**:
- A circle has an infinite number of lines of symmetry because any line drawn through the center of the circle will divide it into two equal halves.
- **Conclusion**: Statement B is false.

4. **Evaluate Statement C**:
- An angle generally has only one line of symmetry, which is the line that bisects the angle.
- **Conclusion**: Statement C is false.

5. **Evaluate Statement D**:
- A regular hexagon has 6 lines of symmetry, not 4. The lines of symmetry can be drawn through each vertex and the midpoint of the opposite side.
- **Conclusion**: Statement D is false.

### Final Conclusion:
The only true statement among the options is:
- **Statement A**: A regular polygon of 10 sides has 10 lines of symmetry.