HEEELPPP Identify the correct justification for each step, given that m∠1≅m∠2, m∠3=95°, and ∠2 and ∠JLM are supplementary.

1. ∠2 and ∠JLM are supplementary

2. m∠2+m∠JLM=180°

3. m∠1+m∠3=m∠JLM

4. m∠2+m∠1+m∠3=180°

5. m∠1≅m∠2

6. m∠2+m∠2+m∠3=180°

7. m∠3=95°

8. m∠2+m∠2+95°=180°

9. 2(m∠2)+95°=180°

10. 2(m∠2)=85°

11. m∠2=42.5°

A.

1. Given

2. Def. of Supp. ∠s

3. Add. Prop. of =

4. Subst. Prop. of =

5. Given

6. Subst. Prop. of =

7. Given

8. Subst. Prop. of =

9. Simplify

10. Subt. Prop. of =

11. Mult. Prop. of =

B.

1. Given

2. Def. of Supp. ∠s

3. ∠ Add. Post.

4. Subst. Prop. of =

5. Given

6. Subst. Prop. of =

7. Given

8. Subst. Prop. of =

9. Simplify

10. Subt. Prop. of =

11. Div. Prop. of =

C.

1. Given

2. Def. of Supp. ∠s

3. ∠ Add. Post.

4. Subst. Prop. of =

5. Given

6. Add. Prop. of =

7. Given

8.Add. Prop. of =

9. Simplify

10. Add. Prop. of =

11. Mult. Prop. of =

D.

1. Given

2. Lin. Pair Thm.

3. ∠ Add. Post.

4. Subst. Prop. of =

5. Vert. ∠s Thm.

6. Subst. Prop. of =

7. Given

8. Subst. Prop. of =

9. Simplify

10. Subt. Prop. of =

11. Div. Prop. of =