Which of the following is correct about triangle?

Options

A. All the angles are always acute angles
B. An angle is always a right angle
C. An angle is always an obtuse angle
D. An angle is always an acute angle

Answer

To determine which statement about triangles is correct, we will analyze each of the four options provided.

### Step-by-Step Solution:

1. **Analyze the first option: "All angles are always acute."**
- A triangle can have angles that are acute (less than 90 degrees), right (exactly 90 degrees), or obtuse (greater than 90 degrees).
- Therefore, it is not true that all angles in a triangle are always acute.
- **Conclusion:** This option is incorrect.

2. **Analyze the second option: "An angle is always a right angle."**
- A triangle can be an equilateral triangle with angles of 60 degrees, or it can be an obtuse triangle with one angle greater than 90 degrees.
- Thus, it is not true that all angles in a triangle are right angles.
- **Conclusion:** This option is also incorrect.

3. **Analyze the third option: "An angle is always an obtuse angle."**
- Similar to the previous analysis, a triangle can have angles that are acute or right. For example, an equilateral triangle has all angles equal to 60 degrees, which are acute.
- Therefore, it is not true that an angle in a triangle is always obtuse.
- **Conclusion:** This option is incorrect as well.

4. **Analyze the fourth option: "An angle is always an acute angle."**
- In any triangle, the sum of the angles is always 180 degrees. If one angle is obtuse (greater than 90 degrees) or a right angle (90 degrees), the remaining angles must be acute to maintain the total of 180 degrees.
- Thus, at least one angle in any triangle must always be acute.
- **Conclusion:** This option is correct.

### Final Answer:
The correct statement about triangles is: **"An angle is always an acute angle."**