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 \((8x - 23)^{\circ}\) and \((7x-2)^{\circ}\) are equal. So we can set up the equation \(8x-23=7x - 2\).

Step2: Solve the equation for \(x\)

Subtract \(7x\) from both sides of the equation: \(8x-7x-23=7x - 7x-2\), which simplifies to \(x-23=-2\).
Then add \(23\) to both sides: \(x-23 + 23=-2+23\).

Answer:

\(x = 21\)