The angles of a quadrilateral are `100^(@),98^(@)` and `92^(@)` respectively. Find the fourth angle.

Answer

To find the fourth angle of the quadrilateral, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Property of Quadrilaterals**:
The sum of all angles in a quadrilateral is always 360 degrees.

2. **List the Given Angles**:
The angles provided are:
- First angle = 100 degrees
- Second angle = 98 degrees
- Third angle = 92 degrees

3. **Set Up the Equation**:
Let the fourth angle be represented as \( x \). According to the property mentioned, we can write the equation:
\[ 100 + 98 + 92 + x = 360 \]

4. **Calculate the Sum of the Known Angles**:
First, we will add the three given angles:
\[ 100 + 98 + 92 = 290 \]

5. **Substitute the Sum into the Equation**:
Now, substitute the sum back into the equation:
\[ 290 + x = 360 \]

6. **Solve for \( x \)**:
To find \( x \), subtract 290 from both sides:
\[ x = 360 - 290 \]
\[ x = 70 \]

7. **Conclusion**:
The fourth angle of the quadrilateral is \( 70 \) degrees.

### Final Answer:
The fourth angle is \( 70 \) degrees.