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

Question

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

Explanation:

Step1: Use the property of parallel lines and transversal

When two parallel lines \(l\parallel m\), we can use the property that the sum of the angles formed by a transversal is related. Let's assume we draw a line parallel to \(l\) and \(m\) through the vertex of the angles \(60^{\circ}\) and \(65^{\circ}\). By the alternate - interior angles property, we know that \(x = 60+65\).

Answer:

\(125\)