Question

given m||n, find the value of x.

Explanation:

Step1: Identify angle - relationship

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

Step2: Rearrange the equation

Subtract \(6x\) from both sides: \(30 = 8x-6x - 10\), which simplifies to \(30=2x - 10\).

Step3: Solve for \(x\)

Add 10 to both sides: \(30 + 10=2x\), so \(40 = 2x\). Then divide both sides by 2: \(x=\frac{40}{2}=20\).

Answer:

20