Mark against the correct answer:
Two angles of a triangle measure `30 ^(@)` and `25^(@)` respectively. The measure of the third angle is

Options

A. `35^(@)`
B. `45^(@)`
C. `65^(@)`
D. `125^(@)`

Answer

To find the measure of the third angle in a triangle when two angles are given, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Angles**:
We are given two angles of the triangle:
- Angle 1 = 30 degrees
- Angle 2 = 25 degrees

2. **Use the Triangle Angle Sum Property**:
The sum of all angles in a triangle is always 180 degrees. This can be expressed as:
\[ \text{Angle 1} + \text{Angle 2} + \text{Angle 3} = 180^\circ \]

3. **Set Up the Equation**:
Let the third angle be \( x \). Therefore, we can write the equation as:
\[ 30^\circ + 25^\circ + x = 180^\circ \]

4. **Combine the Known Angles**:
Add the two known angles:
\[ 30 + 25 = 55 \]
So, the equation becomes:
\[ 55 + x = 180 \]

5. **Isolate the Third Angle**:
To find \( x \), subtract 55 from both sides of the equation:
\[ x = 180 - 55 \]

6. **Calculate the Value of \( x \)**:
Perform the subtraction:
\[ x = 125 \]

7. **Conclusion**:
The measure of the third angle is \( 125^\circ \).

### Final Answer:
The measure of the third angle is **125 degrees**.