Is My Logic Proof Correct?

Question

Can you check this for me? If I messed up some part, please tell me :)

Given: Angle 1 = Angle 2
Prove: Angle 2 supplements angle 3

1. Angle 1 supplements angle 2 (given)
2. Angle 1 + angle 2 =180 (Definition of supplement)
3. 180- angle 1= angle 2 (Subtraction prop. of equality)
4. 180 - angle 3= angle 2 (Substitution prop. of equality)
5. Angle 3 + angle 2= 180 (Addition prop. of equality)
6. THEREFORE, angle 2 supplements angle 3 (Definition of supplement)

Answer 1

yes
it looks correct

Answer 2

1. Angle 1 is congruent to angle 2 (the only way they will supplement is if both angels = 90 degrees)

Answer 3

round reasoning (begging the question) is a logical fallacy. as with all fallacy, an argument that makes use of that's invalid, regardless of if the authentic result takes position to be authentic. utilising that's not ultimate, and it would not validate some thing.