Question

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

Explanation:

Step1: Use the property of supplementary angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \((3x - 30)+(8x - 10)=180\).

Step2: Simplify the equation

Combine like - terms: \(3x+8x-30 - 10=180\), which gives \(11x-40 = 180\).

Step3: Solve for \(x\)

Add \(40\) to both sides: \(11x=180 + 40\), so \(11x=220\). Then divide both sides by \(11\): \(x=\frac{220}{11}\).

Answer:

\(x = 20\)