Question

question in the diagram, m || n. find the value of x.

Explanation:

Step1: Use property of parallel lines

Draw a transversal - like line through the angle \(x\). The \(145^{\circ}\) angle and an adjacent - formed angle are supplementary. Let the adjacent - formed angle be \(a\), so \(a = 180 - 145=35^{\circ}\) (since the sum of supplementary angles is \(180^{\circ}\)).

Step2: Calculate \(x\)

The sum of the three angles at the non - parallel side intersection is \(x\). We know two of the angles are \(35^{\circ}\) each. So \(x=35 + 35=70^{\circ}\) (by the angle - sum property for the angles formed).

Answer:

\(70^{\circ}\)