Question

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

Explanation:

Step1: Identify Alternate Interior Angles

Since \( l \parallel m \parallel n \), the \( 36^\circ \) angle and \( x^\circ \) angle are alternate interior angles.

Step2: Apply Alternate Interior Angles Theorem

Alternate interior angles are equal when lines are parallel. So \( x = 36 \).

Answer:

\( 36 \)