Question

question 14

given ( m parallel n ), find the value of ( x ).

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), the angles \((6x + 4)^{\circ}\) and \((8x-6)^{\circ}\) are equal. So we can set up the equation \(6x + 4=8x-6\).

Step2: Solve the equation for \(x\)

Subtract \(6x\) from both sides: \(4 = 2x-6\).
Add \(6\) to both sides: \(10=2x\).
Divide both sides by \(2\): \(x = 5\).

Answer:

\(x = 5\)