Question

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

Explanation:

Step1: Identify supplementary angles

Since \( l \parallel m \), the \( 119^\circ \) angle and \( x^\circ \) angle are supplementary (they form a linear pair).

Step2: Calculate \( x \)

The sum of supplementary angles is \( 180^\circ \), so \( x + 119 = 180 \).
Solving for \( x \), we get \( x = 180 - 119 \).
\( x = 61 \)

Answer:

\( 61 \)