Question

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

Explanation:

Step1: Identify congruent angles

Since \( l \parallel n \), the corresponding angle to \( 60^\circ \) on line \( l \) is congruent to \( (2x-8)^\circ \) (they are alternate interior angles, which are equal for parallel lines). Thus, \( 2x - 8 = 60 \).

Step2: Solve for x

Add 8 to both sides:
\( 2x = 60 + 8 = 68 \)
Divide by 2:
\( x = \frac{68}{2} = 34 \)

Answer:

\( x = 34 \)