Question

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

Explanation:

Step1: Identify corresponding angles

Since \(m \parallel n\) and \(t\) is transversal, \((8x+6)^\circ\) and \((4x+30)^\circ\) are corresponding angles, so they are equal.

Step2: Set up equation

\(8x + 6 = 4x + 30\)

Step3: Solve for x

Subtract \(4x\) from both sides: \(4x + 6 = 30\)
Subtract 6 from both sides: \(4x = 24\)
Divide by 4: \(x = 6\)

Answer:

6