Question

solve for x.

Explanation:

Step1: Identify the relationship (corresponding angles)

Since \( NQ \parallel PJ \) (assuming the lines are parallel, as the angles suggest corresponding angles), the angle \( (3x + 5)^\circ \) and \( 68^\circ \) are corresponding angles, so they are equal. Thus, we set up the equation:
\( 3x + 5 = 68 \)

Step2: Solve for \( x \)

Subtract 5 from both sides:
\( 3x = 68 - 5 \)
\( 3x = 63 \)

Divide both sides by 3:
\( x = \frac{63}{3} \)
\( x = 21 \)

Answer:

\( 21 \)