Question

The sketch shows two parallel lines cut by a transversal. Which set of angle pairs are NOT corresponding angles? 2 parallel lines cut by a transversal. The angles formed with the first line, starting at the top left space and going clockwise are: 1, 2, 4, 3. The angles formed with the second line are 5, 6, 8, 7.

Answer 1

When two parallel lines are cut by a transversal, corresponding angles are equal and occupy the same relative position; any pairs that don't follow this are not corresponding angles.

Step-by-step explanation:

To determine which set of angle pairs are NOT corresponding angles when two parallel lines are cut by a transversal, we must first understand what corresponding angles are. Corresponding angles are those that occupy the same relative position at each intersection where the transversal cuts the parallel lines.

They are equal in measure if the lines are parallel. In the scenario described, the corresponding angles would be: (1 and 5), (2 and 6), (3 and 7), (4 and 8). Thus, any other combination of angles, such as (1 and 6), (2 and 7), (3 and 8), or (4 and 5), would not be considered corresponding angles.

Answer 2

Following are the responses to the given question:

Step-by-step explanation:

Please find the graph file in the attachment.

In this question, the Alternate Interior Angles are being used by the angles created mostly by the intersecting intersection of two parallel or non-parallel lines. Its angles were located at the upper lid and lay opposite to a cross-section. Its angles are diagonal throughout the transverse and inside the parallel lines. Angles <3 and <6 are hence interiors which are alternating. Alternative insides are <4 and <5.