In a `/_\ ABC`, if `/_A = 65^(@)`, `/_B = 45^(@)`, find `/_C`.

Answer

To find the measure of angle C in triangle ABC where angle A = 65° and angle B = 45°, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Sum of Angles in a Triangle**:
The sum of the angles in any triangle is always equal to 180°.

2. **Write the Equation**:
For triangle ABC, we can express this as:
\[ \text{Angle A} + \text{Angle B} + \text{Angle C} = 180° \]
Substituting the known values:
\[ 65° + 45° + \text{Angle C} = 180° \]

3. **Calculate the Sum of Angles A and B**:
First, add the measures of angle A and angle B:
\[ 65° + 45° = 110° \]

4. **Substitute the Sum Back into the Equation**:
Now, substitute the sum back into the equation:
\[ 110° + \text{Angle C} = 180° \]

5. **Solve for Angle C**:
To find angle C, subtract 110° from both sides:
\[ \text{Angle C} = 180° - 110° \]
\[ \text{Angle C} = 70° \]

### Final Answer:
Thus, the measure of angle C is 70°.

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