Mathematics, 20.09.2020 09:01, Ryan02717
Daniel is constructing a fence that consists of parallel sides line AB and line EF. Complete the proof to explain how he can show that mâ GKB = 120° by filling in the missing justifications.
StatementJustification
line AB â„ line EF
mâ ELJ = 120°Given
mâ ELJ + mâ ELK = 180°Linear Pair Postulate
mâ BKL + mâ GKB = 180°Linear Pair Postulate
mâ ELJ + mâ ELK = mâ BKL + mâ GKBTransitive Property
â ELK â
â BKL1.
mâ ELK = mâ BKL2.
mâ ELJ + mâ ELK = mâ ELK + mâ GKBSubstitution Property
mâ ELJ = mâ GKBSubtraction Property
mâ GKB = mâ ELJSymmetric Property
mâ GKB = 120°Substitution
1. Alternate Interior Angles Theorem; 2. Definition of Congruence
1. Alternate Exterior Angles Theorem; 2. Substitution Property
1. Definition of Congruence; 2. Alternate Interior Angles Theorem
1. Substitution Property; 2. Alternate Exterior Angles Theorem
Answers: 1
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