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isaiahh223gLv4
3 May 2022
Given: 
ABD and DBC are adjacent angles, m ABD = 45
, and m DBC = 30
Prove: m ABC = 75
Statement: Reason:
1. ABD is adjacent to DBC 1. [?]
2. m ABD + m DBC = m AB 2. Angle Addition Postulate
3. m ABD = 45 3. Given
4. m DBC = 30 4. Given
5. 45+ 30= m ABC 5.
6.75= m ABC 6. Arithmetic
7. m ABC=75 7. Symmetric Property
Select the reason that best supports Statement 1 in the given proof.
A. Given
B. Distributive Property
C. Substitution
D. Transitive Property
Given: ABD and DBC are adjacent angles, m ABD = 45, and m DBC = 30
ABD and DBC are adjacent angles, m ABD = 45, and m DBC = 30Prove: m ABC = 75
ABC = 75 Statement: Reason:
1. ABD is adjacent to DBC 1. [?]
ABD is adjacent to DBC 1. [?] 2. m ABD + m DBC = m AB 2. Angle Addition Postulate
ABD + m DBC = m AB 2. Angle Addition Postulate3. m ABD = 45 3. Given
ABD = 45 3. Given4. m DBC = 30 4. Given
DBC = 30 4. Given5. 45+ 30= m ABC 5.
+ 30= m ABC 5.6.75= m ABC 6. Arithmetic
= m ABC 6. Arithmetic7. m ABC=75 7. Symmetric Property
ABC=75 7. Symmetric Property Select the reason that best supports Statement 1 in the given proof.
A. Given
B. Distributive Property
C. Substitution
D. Transitive Property
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