# Geometry Help Me Please

**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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