What would be the reasons for lines 3 and 4? A. Addition property; subtraction property B. Addition property; solve C. Substitution property; subtraction property D. Substitution property; prove
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Answer:
C
Step-by-step explanation:
We are given that angle 1 and angle 2 are supplementary angles.
[tex]m\angle 1=128^{\circ}[/tex]
We have to find the reason for line 3 and 4.
1.Angle 1 and angle 2 are supplementary angles
[tex]m\angle 1=128^{\circ}[/tex]
Reason:Given
2.[tex]m\angle 1+m\angle2=180^{\circ}[/tex]
Reason:Definition of supplementary angles.
3.[tex]128^{\circ}+m\angle 2=180^{\circ}[/tex]
Reason:Substitute property
4.[tex]m\angle 2=180-128=52^{\circ}[/tex]
Reason:Subtraction property of equality
Hence, option C is true.