Question

solve for x. x = box save answer (diagram: lines with angles 105° and (2x - 5)°)

Explanation:

Step1: Identify parallel lines and transversal

Lines \( MN \) and \( OP \) are parallel, and \( LK \) is a transversal. So, the corresponding angles \( (2x - 5)^\circ \) and \( 105^\circ \) are equal.
\( 2x - 5 = 105 \)

Step2: Solve for \( x \)

Add 5 to both sides:
\( 2x - 5 + 5 = 105 + 5 \)
\( 2x = 110 \)
Divide both sides by 2:
\( x = \frac{110}{2} \)
\( x = 55 \)

Answer:

\( 55 \)