Question

given m||n, find the value of x.
answer
attempt 2 out of 2
(9x - 10)°
(8x - 14)°

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((8x - 14)^{\circ}\) and \((9x-10)^{\circ}\) are alternate - interior angles and are equal.
So, we set up the equation \(8x - 14=9x - 10\).

Step2: Solve the equation for \(x\)

Subtract \(8x\) from both sides of the equation:
\(8x-14-8x=9x - 10-8x\)
\(-14=x - 10\).
Then add 10 to both sides:
\(-14 + 10=x-10 + 10\)
\(x=-4\).

Answer:

\(x=-4\)