Question

given m||n, find the value of x. answer attempt 1 out of 2

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((6x + 30)^{\circ}\) and \((8x-10)^{\circ}\) are corresponding angles and are equal. So, \(6x + 30=8x - 10\).

Step2: Solve the equation for \(x\)

First, subtract \(6x\) from both sides: \(30=8x-6x - 10\), which simplifies to \(30 = 2x-10\).
Then, add 10 to both sides: \(30 + 10=2x\), so \(40 = 2x\).
Finally, divide both sides by 2: \(x=\frac{40}{2}=20\).

Answer:

\(20\)