Question

question
given ( mparallel n ), find the value of x.
answer
attempt 1 out of 2
( x=)

Explanation:

Step1: Use the property of consecutive interior angles

When \(m\parallel n\), the sum of consecutive interior angles is \(180^{\circ}\). So, \((x - 30)+(3x - 10)=180\).

Step2: Simplify the equation

Combine like - terms: \(x+3x-30 - 10=180\), which gives \(4x-40 = 180\).

Step3: Solve for \(x\)

Add \(40\) to both sides: \(4x=180 + 40\), so \(4x=220\). Then divide both sides by \(4\): \(x=\frac{220}{4}=80\).

Answer:

\(x = 80\)