Question

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

Explanation:

Step1: Identify corresponding angles

Since \(m \parallel n\) and \(t\) is a transversal, \((8x - 5)^\circ\) and \((x + 5)^\circ\) are corresponding angles, so they are equal.

Step2: Set up equation

\(8x - 5 = x + 5\)

Step3: Solve for x

Subtract \(x\) from both sides: \(7x - 5 = 5\)
Add 5 to both sides: \(7x = 10\)
Divide by 7: \(x = \frac{10}{7}\)

Answer:

\(\frac{10}{7}\)