Question

given m||n, find the value of x. (x - 3)° (4x + 3)° answer attempt 1 out of 2 x =

Explanation:

Step1: Use property of parallel lines

When two parallel lines \(m\) and \(n\) are cut by a transversal, the given angles \((x - 3)^{\circ}\) and \((4x+3)^{\circ}\) are same - side interior angles. Same - side interior angles are supplementary, so their sum is \(180^{\circ}\). We set up the equation \((x - 3)+(4x + 3)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(x-3 + 4x+3=180\). The \(-3\) and \(+3\) cancel out, and \(x+4x = 5x\), so the equation becomes \(5x=180\).

Step3: Solve for \(x\)

Divide both sides of the equation \(5x = 180\) by \(5\). We get \(x=\frac{180}{5}=36\).

Answer:

\(36\)