In a right-angled triangle, one of the acute angles measures `53^(@)`. Find the measure of other angle of the triangle.

Options

A. `17^(@)`
B. `27^(@)`
C. `37^(@)`
D. `47^(@)`

Answer

To solve the problem, we need to find the measure of the other acute angle in a right-angled triangle where one acute angle measures \(53^\circ\).

### Step-by-Step Solution:

1. **Understand the properties of a right-angled triangle**:
In a right-angled triangle, one angle is always \(90^\circ\) (the right angle), and the sum of all angles in a triangle is \(180^\circ\).

2. **Set up the equation for the angles**:
Let the angles of the triangle be \(A\), \(B\), and \(C\). We know:
- \(A = 53^\circ\) (one acute angle)
- \(B = 90^\circ\) (the right angle)
- \(C\) is the other acute angle we need to find.

The sum of angles in a triangle is given by:
\[ A + B + C = 180^\circ \]

3. **Substitute known values into the equation**:
Substitute \(A\) and \(B\) into the equation:
\[ 53^\circ + 90^\circ + C = 180^\circ \]

4. **Simplify the equation**:
Combine \(53^\circ\) and \(90^\circ\):
\[ 143^\circ + C = 180^\circ \]

5. **Isolate \(C\)**:
To find \(C\), subtract \(143^\circ\) from both sides:
\[ C = 180^\circ - 143^\circ \]
\[ C = 37^\circ \]

6. **Conclusion**:
The measure of the other acute angle \(C\) is \(37^\circ\).

### Final Answer:
The measure of the other angle of the triangle is \(37^\circ\).