Question

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

Explanation:

Step1: Use the property of same - side interior angles

When \(m\parallel n\) and \(t\) is a transversal, the sum of same - side interior angles is \(180^{\circ}\). So, \((10x - 21)+(10x + 1)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(10x+10x-21 + 1=180\), which simplifies to \(20x-20 = 180\).

Step3: Solve for \(x\)

Add \(20\) to both sides of the equation: \(20x-20+20=180 + 20\), so \(20x=200\). Then divide both sides by \(20\): \(x=\frac{200}{20}\).

Answer:

\(x = 10\)