Question

identify the transversal for the angle pair below and classify the angles. ∠7 and ∠2 transversal: b; alternate interior angles transversal: c; alternate exterior angles transversal: c; alternate interior angles none of the above

Explanation:

Step1: Recall transversal definition

A transversal is a line that intersects two or more lines. Line \(c\) intersects lines \(a\) and \(b\). Lines \(\angle7\) and \(\angle2\) are on opposite sides of the transversal \(c\) and are non - adjacent.

Step2: Recall angle - type definitions

Alternate interior angles are non - adjacent angles that lie between two lines and on opposite sides of a transversal. Alternate exterior angles are non - adjacent angles that lie outside two lines and on opposite sides of a transversal. \(\angle7\) and \(\angle2\) are non - adjacent, on opposite sides of transversal \(c\) and are interior to the lines formed by the intersection of \(a\), \(b\) and \(c\). So they are alternate interior angles.

Answer:

transversal: c; alternate interior angles