Answer:
m∠1 = 61°
m∠2 = 119°
m∠3 = 61°
m∠4 = 119°
m∠5 = 119°
m∠6 = 61°
m∠7 = 119°
Explanation:
Ah transversals, a simple subject which was taught to be so complicated.
Basically its a complicated way of demonstrating parallelism and intersection of two straight lines.
m∠6 is equal to angle 61 due to a rule of vertical angle; basically the mirroring properties of two intersecting lines. If you'd like this subject broken down further leave me a comment.
Corresponding angles are ∠2 and ∠5, and ∠3 and 6∠. It's easier to visualize them on their own. To help with this I'll provide a cleaned-up visual.
They are equal to each other just as 61 is equal to m∠1
the 61 and the m∠5 will add up to 180 because straight lines are straight and 180 degrees.
Hope this helps