Mathematics, 10.09.2021 05:10 anjali9788
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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 =
Answers: 3
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