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Prove the second case of the Congruent Supplements Theorem where two angles are...
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High School Teacher
We are given that angle 1 and angle 2 are supplements, angle 3 and angle 4 are supplements, and angle 1 is congruent to angle 4.
We are asked to prove that angle 2 is congruent to angle 3.
`/_1 "supplement"/_2` Given
`m/_1+m/_2=180` Definition of supp. angles
`/_3"supplement" /_4` Given
`m/_3+m/_4=180` Definition of supp angles
`/_1 cong /_4` Given
`m/_1=m/_4` Definition of congruent
`m/_2=m/_3` Subtraction property of equality
`/_2 cong /_3` Definition of congruent
Posted by embizze on October 22, 2013 at 4:39 AM (Answer #1)
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