the correct pair of corresponding angles is given by option C, Angle 3 and Angle 8.
Corresponding angles are pairs of angles that are in the same position at each intersection where a straight line crosses two others. If the two lines are parallel, corresponding angles are equal.
Looking at the diagram provided, we can see two lines cut by a transversal. Based on their positions relative to the transversal and the lines, we can identify corresponding angles. Here are the pairs of corresponding angles from the options given:
- Angle 4 and Angle 5 are not corresponding angles; they are alternate interior angles.
- Angle 6 and Angle 7 are not corresponding angles; they are consecutive interior angles, also known as same-side interior angles.
- Angle 3 and Angle 8 are corresponding angles because they are in the same position at each intersection relative to the transversal and the parallel lines.
- Angle 1 and Angle 3 are not corresponding angles; one is an exterior angle and the other is an interior angle on the same side of the transversal, making them consecutive exterior angles.
Therefore, the correct pair of corresponding angles is given by option C, Angle 3 and Angle 8.