Angle \( K \) has a measure of \( 88^{\circ} \) and is reflected across the line \( y=2 \) to get angle \( K^{\prime \prime} \). What is the measure of angle \( X^{\prime} \) ? Enter your answer as the correct value, lie this: 42

To find the measure of angle \( X^{\prime} \) after angle \( K \) is reflected across the line \( y=2 \), we need to understand how reflection affects angles. 1. **Identify the original angle**: Angle \( K \) measures \( 88^{\circ} \). 2. **Understand the reflection**: When an angle is reflected across a horizontal line (like \( y=2 \)), the angle's measure remains the same. The reflection only changes the orientation of the angle, not its measure. 3. **Determine the measure of angle \( X^{\prime} \)**: Since angle \( K \) is reflected to form angle \( K^{\prime \prime} \), the measure of angle \( K^{\prime \prime} \) will still be \( 88^{\circ} \). Thus, the measure of angle \( X^{\prime} \) is also \( 88^{\circ} \). The final answer is: 88