Question

solve for x.

Explanation:

Answer:

To solve for \( x \), we recognize that lines \( MN \) and \( OP \) are parallel (since they have the same direction), and line \( KL \) is a transversal. The angles \( (2x + 41)^\circ \) and \( 51^\circ \) are corresponding angles, so they are equal.

Set up the equation:
\( 2x + 41 = 51 \)

Subtract 41 from both sides:
\( 2x = 51 - 41 \)
\( 2x = 10 \)

Divide both sides by 2:
\( x = \frac{10}{2} \)
\( x = 5 \)

\( x = 5 \)