Question

given ( l parallel m parallel n ), find the value of ( x ).

Explanation:

Step1: Identify the relationship

Since \( l \parallel m \parallel n \), the angles \( 6x^\circ \) and \( (7x - 20)^\circ \) are equal (corresponding angles or alternate interior angles, depending on the transversal, but since the lines are parallel, these angles are congruent). So we set up the equation:
\( 6x = 7x - 20 \)

Step2: Solve for \( x \)

Subtract \( 6x \) from both sides:
\( 0 = x - 20 \)
Add 20 to both sides:
\( x = 20 \)

Answer:

\( 20 \)