MP and NP are midsegments of AJKL Your Turn 1 Find mzJLK MP LK LJMP LJLK mzJMP mzJLK 105 mzJLK 2 Find JL 2PN JL 2 39 JL 78 JL 2QR MN 2 4n 9 14n 8n 18 14n 18 6n 3 n MN 14n Triangle Midsegment Theorem Corresponding Angles Theorem Definition of Congruent Angles Substitution Property MN 14 3 MN 42 Triangle Midsegment Theorem Substitution Property EXPLAIN 2B Using the Triangle Midsegment Theorem Read Explain 2B and complete Your Turn 3 4 Adapted from Lesson 8 4 Show all your work Example M 1 Find MN Simplify Triangle Midsegment Theorem Substitution Property Distributive Property Subtraction Property of Equality Division Property of Equality Given 105 M H Substitution Property Simplify Q P P 39 N 4n 9 9 14n R N