Transversal c intersects lines a and b. Prove that a||b in each case.

1.m∠1 + m∠7 = 143° + 37° = 180°

2. a ∥ b is S.S. ext. ∠s suppl.

Step-by-step explanation:

m<1 + m<7 = 143 degrees + 37 degrees = 180 degrees

I do rsm as well and an important part that you forgot to take a photo of was the statement :

m∠1=143° and m∠7= 37°.

First we can write m<1 + m<7 and then substitute those angles with their actual degree measure:

143° + 37° = 180 degrees

Our first statement is

m∠1 + m∠7 = 143° + 37° = 180°

for our second statement

a ∥ b is S.S. ext. ∠s suppl.

Hope this Helps!!! :)

Let me know in the comments if I should improve on anything or if it was perfect?

a

step-by-step explanation:

my answer got deleted but it's a

step-by-step explanation: