Question

find the value of x if the lines are parallel.

Explanation:

Step1: Use the property of parallel lines

When two parallel lines are cut by a transversal, the alternate - exterior angles are equal. So, \( 5x + 3=9x - 5 \).

Step2: Solve the equation for \( x \)

Subtract \( 5x \) from both sides: \( 3 = 4x-5 \).
Add \( 5 \) to both sides: \( 8 = 4x \).
Divide both sides by \( 4 \): \( x = 2 \).

Answer:

\( x = 2 \)