Question

given ( mparallel n ), find the value of x.
answer
( x=)

Explanation:

Step1: Identify angle relationship

Since \(m \parallel n\) and transversal \(t\) intersects them, the given angles are alternate exterior angles, so they are equal.
\(7x + 30 = 8x + 9\)

Step2: Solve for x

Subtract \(7x\) from both sides:
\(30 = x + 9\)
Subtract 9 from both sides:
\(x = 21\)

Answer:

21