Question

note: figure not drawn to scale/ in the figure, line m is parallel to line n, and line k intersects both lines. which of the following statements is true? the value of x is less than 145.

Explanation:

Step1: Recall parallel - line property

When a transversal intersects two parallel lines, corresponding angles are equal.

Step2: Identify corresponding angles

In the figure, since line \(m\) is parallel to line \(n\) and \(k\) is a transversal, the angle marked \(145^{\circ}\) and the angle \(x\) are corresponding angles.
So \(x = 145^{\circ}\)

Answer:

The statement "The value of \(x\) is less than \(145\)" is false.