Three angles of a quadrilateral measure `110^(@), 82^(@) and 68^(@)`. Find the measure of the fourth angle.

Options

A. `80^(@).`
B. `100^(@).`
C. `200^(@).`
D. `70^(@).`

Explanation

To find the measure of the fourth angle in a quadrilateral when three angles are given, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the property of quadrilaterals**: The sum of all four angles in a quadrilateral is always 360 degrees.

2. **Identify the given angles**: The three angles provided are:
- Angle A = 110 degrees
- Angle B = 82 degrees
- Angle C = 68 degrees

3. **Set up the equation**: Let the fourth angle be represented as \( x \). According to the property of quadrilaterals, we can write the equation:
\[ \text{Angle A} + \text{Angle B} + \text{Angle C} + \text{Angle D} = 360 \]
This translates to:
\[ 110 + 82 + 68 + x = 360 \]

4. **Calculate the sum of the known angles**:
\[ 110 + 82 = 192 \]
\[ 192 + 68 = 260 \]

5. **Substitute the sum into the equation**: Now, we can substitute the sum of the angles into the equation:
\[ 260 + x = 360 \]

6. **Solve for \( x \)**: To find \( x \), subtract 260 from both sides:
\[ x = 360 - 260 \]
\[ x = 100 \]

7. **Conclusion**: The measure of the fourth angle is \( 100 \) degrees.

### Final Answer:
The measure of the fourth angle is \( 100^\circ \).