Question

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

Explanation:

Step1: Use the property of parallel lines

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the consecutive - interior angles are supplementary. That is, \((4x - 28)+(10x-2)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(4x+10x-28 - 2=180\), which gives \(14x-30 = 180\).

Step3: Solve for \(x\)

Add \(30\) to both sides of the equation: \(14x=180 + 30\), so \(14x=210\). Then divide both sides by \(14\): \(x=\frac{210}{14}=15\).

Answer:

\(15\)