Question

given l || m || n, find the value of x. answer attempt 1 out of 2 x =

Explanation:

Step1: Use property of parallel lines

When two parallel lines are cut by a transversal, corresponding - angles are equal. Here, the angle of \(120^{\circ}\) and the angle adjacent to \(x^{\circ}\) are corresponding angles. So the angle adjacent to \(x^{\circ}\) is \(120^{\circ}\).

Step2: Use linear - pair property

Since \(x^{\circ}\) and the \(120^{\circ}\) angle form a linear - pair (the sum of angles on a straight line is \(180^{\circ}\)), we have \(x + 120=180\).

Step3: Solve for \(x\)

Subtract \(120\) from both sides of the equation \(x + 120=180\), we get \(x=180 - 120\).
\(x = 60\)

Answer:

\(60\)