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isaiahh223gLv4
3 May 2022
Given: In triangle ABC, m A=6 x-10, m B=2 x, and m C=8 x-2.
Prove: x=12
Statement: Reason:
1. m A = 6x - 10 1. Given
2. m B = 2 2. Given
3. m C = 8x - 2 3. Given
4. m A + m B + m C = 180 4. Triangle Angle
5. 6x - 10 + 2x + 8x - 2 = 180 5. [?]
6. 16x - 12 = 180 6. Algebra
7. 16x = 192 7. Addition
8. x = 12 8. Property
Select the reason that best supports Statement 5 in the given proof.
A. Division Property of Equality
B. Transitive Property
C. Reflexive Property
D. Substitution
Given: In triangle ABC, m A=6 x-10, m B=2 x, and m C=8 x-2.
Prove: x=12
Statement: Reason:
1. m A = 6x - 10 1. Given
2. m B = 2 2. Given
3. m C = 8x - 2 3. Given
4. m A + m B + m C = 180 4. Triangle Angle
5. 6x - 10 + 2x + 8x - 2 = 180 5. [?]
6. 16x - 12 = 180 6. Algebra
7. 16x = 192 7. Addition
8. x = 12 8. Property
Select the reason that best supports Statement 5 in the given proof.
A. Division Property of Equality
B. Transitive Property
C. Reflexive Property
D. Substitution
rosemarvins12Lv10
5 Aug 2023
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