Question

what type of angles are <1 and <3?
vertical angles
corresponding angles
alternate interior angles
alternate exterior angles

Explanation:

To determine the type of angles ∠1 and ∠3 are, we analyze their positions. Corresponding angles are in the same relative position at each intersection where a transversal crosses two parallel lines (or in this case, when a transversal crosses two lines). ∠1 is at the top - left intersection of line C (transversal) and line A, and ∠3 is at the top - left intersection of line C (transversal) and line B. They are in the same relative position with respect to the transversal (line C) and the two lines (line A and line B). Vertical angles are opposite each other when two lines intersect, which is not the case here. Alternate interior angles are inside the two lines and on alternate sides of the transversal, and alternate exterior angles are outside the two lines and on alternate sides of the transversal, neither of which describes ∠1 and ∠3. So, ∠1 and ∠3 are corresponding angles.

Answer:

B. Corresponding Angles