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I need help with this PLEASE!!!

I need help with this PLEASE!!!-example-1

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Answer:

See the image for marked congruences.

1. JM ≅ LM | Given

2. △JML is isosceles | definition of isosceles

3. ∠MJL ≅ ∠MLJ | isosceles triangle theorem

4. m∠MJL = m∠MLJ | definition of ≅

5. JK ≅ LK | Given

6. △JKL is isosceles | definition of isosceles

7. m∠KJL = m∠KLJ | isosceles triangle theorem

8. m∠MJL + m∠KJM = m∠KJL | adjacent angle theorem

9. m∠MLJ + m∠KMJ = m∠KLJ | adjacent angle theorem

10. m∠MJL + m∠KJM = m∠MLJ + m∠KLM | transitive property of =

11. m∠MJL + m∠KJM = m∠MJL + m∠KLM | substitution

12. m∠KJM = m∠KMJ | subtraction

13. ∠KJM ≅ ∠KLM | definition of ≅

14. △KJM ≅ △KLM | SAS theorem

15. ∠JKM ≅ ∠LKM | CPCTC

16. KM bisects ∠JKL | definition of bisector

I need help with this PLEASE!!!-example-1
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