Question

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

Explanation:

Step1: Identify the relationship

Since \( l \parallel m \parallel n \), the alternate interior angles are equal. The angle \( 9x^\circ \) and \( 36^\circ \) are alternate interior angles, so they are equal.

Step2: Solve for \( x \)

Set up the equation \( 9x = 36 \).
To find \( x \), divide both sides by 9: \( x=\frac{36}{9} \).
Simplify the right side: \( x = 4 \).

Answer:

\( x = 4 \)