Given that lines a and b are parallel, and lines e and f are also parallel, if angle $m1$ is $89°$, what is the measure of the corresponding angle formed by the intersection of lines e and f with a transversal?

• A. $91°$
• B. $1°$
• C. $180°$
• D. $89°$

Answer: (D)

Verified step by step guidance

1. Identify the given information: lines a and b are parallel, lines e and f are parallel, and angle m1 is 89°.
2. Recall that when two parallel lines are cut by a transversal, corresponding angles are congruent (equal in measure).
3. Since lines e and f are parallel and intersected by a transversal, the angle corresponding to m1 formed at this intersection will have the same measure as m1.
4. Therefore, the measure of the corresponding angle formed by the intersection of lines e and f with the transversal is equal to the measure of angle m1, which is 89°.
5. Conclude that the answer is 89°, based on the property of corresponding angles between parallel lines.