Question

given m || n, find the value of x.

Explanation:

Step1: Identify angle relationship

Since \( m \parallel n \), the angles \( (7x + 9)^\circ \) and \( (9x - 5)^\circ \) are alternate exterior angles, so they are equal.
\( 7x + 9 = 9x - 5 \)

Step2: Solve for \( x \)

Subtract \( 7x \) from both sides:
\( 9 = 2x - 5 \)

Add 5 to both sides:
\( 14 = 2x \)

Divide by 2:
\( x = 7 \)

Answer:

\( x = 7 \)