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analyzing angle pair relationships of parallel lines cut by a transvers…

Question

analyzing angle pair relationships of parallel lines cut by a transversal. use the diagram of g||h, with transversal f, to answer the questions. a pair of corresponding angles is angle 4 and angle 8. angle 2 is congruent to angle 8. a pair of same - side interior angles is angle 2 and angle 5; angle 4 and angle 7; angle 5 and angle 7

Explanation:

Step1: Recall same - side interior angles definition

Same - side interior angles are two angles that are on the same side of the transversal and between the two parallel lines.

Step2: Analyze given angles

For parallel lines \(g\) and \(h\) cut by transversal \(f\), angle 2 and angle 5 are on the same side of the transversal \(f\) and between \(g\) and \(h\). Angle 4 and angle 7 are on the other side of the transversal and not between the lines in the correct sense for same - side interior. Angle 5 and angle 7 are not between the two parallel lines in the relevant way.

Answer:

angle 2 and angle 5