Description
Given: LINE AB is parallel to LINE CD and ANGLE EIJ congruent to ANGLE GJ
Prove: angle JIK congruent to angle IJL
What is the reason for the last step in the given proof?
1.angle EIJ congruent to angle GJI -------------------->given
2. m angle EIJ = m angle GJI ------------------>definition of congruent angles
3. angle EIJ and angle JIK are supplementary.------------------->Linear Pair Theorem
4. m angle EIJ + m angle JIK = 180° -------------->definition of supplementary angles
5. m angle GJI + m angle JIK = 180° --------------->Substitution Property of Equality
6. angle GJI and angle JIK are supplementary. ----------------------->definition of supplementary angles
7. angle GJI and angle IJL are supplementary. -------------->Linear Pair Theorem
8. angle JIK congruent to angle IJL ---------------------------> MISSING PROOF?
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