Geometry Help Me Please
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?
