Question

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

Explanation:

Step1: Identify angle relationship

Since \( l \parallel n \), \( (2x - 1)^\circ \) and \( 60^\circ \) are alternate exterior angles, so they are equal.

Step2: Set up equation

\( 2x - 1 = 60 \)

Step3: Solve for x

Add 1 to both sides: \( 2x = 61 \)
Divide by 2: \( x = \frac{61}{2} = 30.5 \)

Answer:

\( 30.5 \)