Could someone help me with this two-column proof and explain it for me plz? I'm pretty horrible at proofs sadly.

Given: ∠2 and ∠5 are supplementary
Prove: l || m

Statements;
1.
2. ∠ 3 =∠ 2
3. ∠ 3 and ∠ 5 are supplementary
4.

Reasons
1.
2.
3.
4.

Photo being attached below

Question

Could someone help me with this two-column proof and explain it for me plz? I'm pretty horrible at proofs sadly.

Given: ∠2 and ∠5 are supplementary
Prove: l || m

Statements;
1. 
 2. ∠ 3 =∠ 2
 3. ∠ 3 and ∠ 5 are supplementary
4.

Reasons
1.
2.
3.
4.

Photo being attached below

anonymous · Answer

attachment

jim_thompson5910 · Answer

the first statements usually just repeat what you are given and they justify those statements by saying "given"

jim_thompson5910 · Answer

the very last statement is what you want to prove (if it wasn't, then why end there? or if it's in the middle, why add more unneeded statements when you've proven what you set out to prove?)

anonymous · Answer

Wow you just simplified that so much, lol . My lesson teaching it was complicated and made no sense to me. Thanks so much!

jim_thompson5910 · Answer

yw, there's more to it of course, but that's a good start