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

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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
The measure of angle $$ X^{\prime} $$ is $$ 88^{\circ} $$.

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

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