Question

transversal problems with equations (level 1
question
video examples
given ( m parallel n ), find the value of x.
answer
attempt 1 out of 3
( x = )

Explanation:

Step1: Use the property of alternate interior angles

Since \(m\parallel n\), the angles \((8x - 9)^{\circ}\) and \((6x+1)^{\circ}\) are equal. So we can set up the equation \(8x-9 = 6x + 1\).

Step2: Solve the equation for \(x\)

Subtract \(6x\) from both sides: \(8x-6x-9=6x - 6x+1\), which simplifies to \(2x-9 = 1\).
Add \(9\) to both sides: \(2x-9 + 9=1 + 9\), so \(2x=10\).
Divide both sides by \(2\): \(x=\frac{10}{2}\).

Answer:

\(x = 5\)