To determine how 42 and 46 can be classified in terms of angles, let's consider the definitions of each type of angle relationship:
A. Corresponding Angles: These are pairs of angles that are in the same position at each intersection where a straight line crosses two others. For instance, if two parallel lines are intersected by a third line (a transversal), corresponding angles are on the same side of the transversal and in corresponding positions.
B. Same-Side Interior Angles: These angles are on the same side of the transversal and inside the two intersected lines. They are supplementary when the lines are parallel.
C. Alternate Interior Angles: These are pairs of angles on opposite sides of the transversal but inside the two lines. They are equal when the lines are parallel.
D. Alternate Exterior Angles: These are pairs of angles on opposite sides of the transversal and outside the two lines. They are equal when the lines are parallel.
Given that we need to classify angles 42 and 46 within these contexts, and knowing that corresponding angles are equal, angles 42 and 46 can be classified as corresponding angles because this classification means they are in the same relative position at each intersection of a transversal with two lines, and thus they have equal measures.
Therefore, the correct classification of angles 42 and 46 is:
A. corresponding angles
