Which of the following statements is CORRECT ?

Options

A. Two non-parallel lines will always intersect
B. All equilateral triangles are isosceles.
C. Angle of `0^(@)` is an acute angle.
D. All of these

Answer

To determine which of the statements is correct, let's analyze each statement one by one.

### Step 1: Analyze Statement A
**Statement A:** "Two non-parallel lines will always intersect."

- Non-parallel lines are defined as lines that are not parallel to each other.
- By definition, if two lines are non-parallel, they will eventually meet at some point, meaning they will intersect.

**Conclusion for Statement A:** This statement is **correct**.

### Step 2: Analyze Statement B
**Statement B:** "All equilateral triangles are isosceles."

- An equilateral triangle is defined as a triangle where all three sides are of equal length.
- An isosceles triangle is defined as a triangle that has at least two sides of equal length.
- Since all sides of an equilateral triangle are equal, it meets the criteria for being isosceles (having at least two equal sides).

**Conclusion for Statement B:** This statement is also **correct**.

### Final Conclusion
Both statements A and B are correct. However, if the question asks for which is correct without specifying that both can be correct, we can conclude that:

- **Statement A:** Two non-parallel lines will always intersect. (Correct)
- **Statement B:** All equilateral triangles are isosceles. (Correct)