Question

classify the pairs of angles (∠1 and ∠2, ∠5 and ∠6) using the options: adjacent, linear pair, vertical, none of these

Explanation:

First, analyze each pair:

1. For ∠1 and ∠2: They are on the same side of the transversal, inside the two parallel lines, so they are consecutive interior angles, not adjacent, linear pair, or vertical.
2. For ∠5 and ∠6: They share a common vertex and side, but their non-common sides do not form a straight line, and they are not vertical angles. They are not a linear pair, vertical angles, or standard adjacent angles in the defined categories here.

Answer:

For ∠1 and ∠2: none of these
For ∠5 and ∠6: none of these