Question

given ( mparallel n ), find the value of ( x ).
answer attempt 1 out of 2
( x=)

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), the angles \((9x - 8)^{\circ}\) and \((4x+22)^{\circ}\) are equal. So we can set up the equation \(9x-8 = 4x + 22\).

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides: \(9x-4x-8=4x - 4x+22\), which simplifies to \(5x-8=22\).
Add \(8\) to both sides: \(5x-8 + 8=22+8\), so \(5x=30\).
Divide both sides by \(5\): \(x=\frac{30}{5}\).

Answer:

\(x = 6\)