Answer:
A. [tex]\angle 2\text{ and }\angle 6[/tex],
C. [tex]\angle 4\text{ and }\angle 8[/tex],
F. [tex]\angle 3\text{ and }\angle 7[/tex],
Step-by-step explanation:
We have been given an image of two parallel lines and a transversal. We are asked to find the corresponding angles for our given parallel lines.
We know that when a transversal cuts two parallel lines, then the angles on the matching corners are known as corresponding angles.
Upon looking at our given image, we can see that it has following 4 pairs of corresponding angles as these angles are on the same side of transverasal and same side of parallel lines:
[tex]\angle 1\text{ and }\angle 5[/tex],
[tex]\angle 2\text{ and }\angle 6[/tex],
[tex]\angle 3\text{ and }\angle 7[/tex],
[tex]\angle 4\text{ and }\angle 8[/tex]
Upon looking at our given choices, we can see that options A, C and F are correct choices.
