Question

a transversal t crosses lines m and n. which measurements for the alternate - interior angles created by the intersection of the transversal with the lines prove lines m and n are parallel?
a. 97° and 97°
b. 84° and 96°
c. 82° and 88°
d. 27° and 63°

Explanation:

Step1: Recall parallel - line property

If two lines are parallel, alternate - interior angles are congruent.

Step2: Check each option

We need to find the pair of equal alternate - interior angles.
For option A: The angles are \(97^{\circ}\) and \(97^{\circ}\), which are equal.
For option B: \(84^{\circ}
eq96^{\circ}\).
For option C: \(62^{\circ}
eq88^{\circ}\).
For option D: \(27^{\circ}
eq63^{\circ}\).

Answer:

A. \(97^{\circ}\) and \(97^{\circ}\)