If the three angles of a triangle measure `40^(@), 50^(@), 90^(@)`, the triangle is_________.

Options

A. Acute angled
B. Obtuse angled
C. Right angled
D. Isosceles

Answer

To determine the type of triangle formed by the angles measuring \(40^\circ\), \(50^\circ\), and \(90^\circ\), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Angles**: We have three angles of the triangle: \(40^\circ\), \(50^\circ\), and \(90^\circ\).

2. **Check the Sum of Angles**: The sum of the angles in any triangle must equal \(180^\circ\).
\[ 40^\circ + 50^\circ + 90^\circ = 180^\circ \]
Since the sum is \(180^\circ\), these angles can indeed form a triangle.

3. **Determine the Type of Triangle**:
- **Acute Triangle**: All angles are less than \(90^\circ\).
- **Obtuse Triangle**: One angle is greater than \(90^\circ\) but less than \(180^\circ\).
- **Right Triangle**: One angle is exactly \(90^\circ\).
- **Isosceles Triangle**: At least two angles are equal.

4. **Analyze the Angles**: In our case, one of the angles is \(90^\circ\). Therefore, this triangle has one right angle.

5. **Conclusion**: Since there is one angle that measures \(90^\circ\), the triangle is classified as a **Right Angle Triangle**.

### Final Answer:
The triangle is a **Right Angle Triangle**.

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