Question

given ( mparallel n ), find the value of x.
answer attempt 1 out of 4
( x=)

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines \(m\parallel n\) are cut by a transversal \(t\), the sum of same - side interior angles is \(180^{\circ}\). So, \((2x + 5)+(9x+10)=180\).

Step2: Simplify the equation

Combine like terms: \(2x+9x+5 + 10=180\), which gives \(11x+15 = 180\).

Step3: Solve for \(x\)

Subtract \(15\) from both sides: \(11x=180 - 15\), so \(11x=165\). Then divide both sides by \(11\): \(x=\frac{165}{11}\).

Answer:

\(x = 15\)