Question

1. what is the angle pair relationship for the two labeled angles? alternate interior consecutive interior corresponding alternate exterior

Explanation:

Alternate interior angles are non - adjacent angles that lie between two parallel lines and on opposite sides of a transversal. Corresponding angles are in the same relative position at each intersection where a straight line crosses two others. Consecutive interior angles are on the same side of the transversal and inside the two parallel lines. Alternate exterior angles are non - adjacent and on opposite sides of the transversal outside the two parallel lines.
In the given figure, the two angles \((5x + 3)^{\circ}\) and \((9x-33)^{\circ}\) are non - adjacent, lie between the two lines \(l\) and \(m\) (assuming \(l\parallel m\)) and on opposite sides of the transversal. This is the definition of alternate interior angles.

Answer:

Alternate Interior