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

Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(4x + 8=2x + 10\).

Step2: Solve the equation for \(x\)

Subtract \(2x\) from both sides: \(4x-2x + 8=2x-2x + 10\), which simplifies to \(2x+8 = 10\). Then subtract 8 from both sides: \(2x+8 - 8=10 - 8\), getting \(2x=2\). Divide both sides by 2: \(\frac{2x}{2}=\frac{2}{2}\), so \(x = 1\).

Answer:

\(x = 1\)