HARNESS SKILL Direction: Complete the proof by writing the reason for each statement. Choose your answer inside the box. Write your answer on the space provided. GIVEN: △LMN with exterior angle ∠LNP
PROVE: m∠LNP>m∠MLN

Proof:
Let us prove that m∠LNP>m∠MLN by constructing the following:
1. midpoint Q on LN such that LQ ≅ NQ
2. MR through Q such that MQ ≅ QR

Vertical Angles are congruent
SAS Triangle Congruence Postulate
Substitution Property of Equality
Property of Inequality
By Construction
Angle Addition Postulate
Segment Addition Postulate Corresponding Parts of Congruent Triangles are Congruent (CPCTC)
Transitive Property of Equality

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