Apr 16th, 2015
Anonymous
Category:
Mathematics
Price: \$5 USD

Question 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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