Question

m n (58 - 7x)° o p (54 - 3x)° l x =

Explanation:

Step1: Identify parallel lines and transversal

Lines \( MN \) and \( OP \) are parallel, and line \( KL \) is a transversal. So, the given angles are alternate interior angles and thus equal.
\( 58 - 7x = 54 - 3x \)

Step2: Solve for \( x \)

Subtract \( 54 \) from both sides:
\( 58 - 54 - 7x = -3x \)
\( 4 - 7x = -3x \)

Add \( 7x \) to both sides:
\( 4 = -3x + 7x \)
\( 4 = 4x \)

Divide both sides by \( 4 \):
\( x = \frac{4}{4} = 1 \)

Answer:

\( x = 1 \)