Question

in the figure below, ( l parallel m ). find ( x ).

Explanation:

Step1: Use the property of parallel lines and alternate interior angles

When two parallel lines \(l\parallel m\), the sum of the angles formed by a transversal is related. The sum of the angles \(x^{\circ}\), \(65^{\circ}\), and \(60^{\circ}\) is \(180^{\circ}\) (since they form a straight - line equivalent due to the parallel lines). So, \(x + 65+60=180\).

Step2: Solve the equation for \(x\)

Subtract \(65 + 60\) from both sides of the equation.
\(x=180-(65 + 60)\)
\(x=180 - 125\)

Answer:

\(x = 55\)