Question

in the figure below, l || m. find x.

Explanation:

Step1: Use angle - related property of parallel lines

Since \(l\parallel m\), we can use the property of corresponding angles or alternate - interior angles. The sum of the angles on one side of the transversal between the parallel lines is related to the given angles. The angle formed by the combination of the \(29^{\circ}\) and \(101^{\circ}\) angles and \(x\) is such that the sum of the non - overlapping angles on one side of the transversal between the parallel lines is equal. The sum of the two given angles \(29^{\circ}+101^{\circ}=130^{\circ}\).

Step2: Find the value of \(x\)

Because of the parallel lines \(l\parallel m\), \(x = 130^{\circ}\) (by the property that the angles are equal in measure when considering the parallel - line and transversal relationship).

Answer:

\(130\)