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Mathematics, 22.09.2021 07:30 GERIANNCAYER
Daniel is constructing a fence that consists of parallel sides line AB and line EF.
(PHOTO ADDED!!)
Complete the proof to explain how he can show that m∠GKB = 120° by filling in the missing justifications.
Statement: Justification:
line AB ∥ line EF m∠ELJ = 120° Given
m∠ELJ + m∠ELK = 180° Linear Pair Postulate
m∠BKL + m∠GKB = 180° Linear Pair Postulate
m∠ELJ + m∠ELK = m∠BKL + m∠GKB Transitive Property
∠ELK ≅ ∠BKL 1.
m∠ELK = m∠BKL 2.
m∠ELJ + m∠ELK = m∠ELK + m∠GKB Substitution Property
m∠ELJ = m∠GKB Subtraction Property
m∠GKB = m∠ELJ Symmetric Property
m∠GKB = 120° Substitution
A: 1. Alternate Interior Angles Theorem; 2. Definition of Congruence
B: 1. Alternate Exterior Angles Theorem; 2. Substitution Property
C: 1. Definition of Congruence; 2. Alternate Interior Angles Theorem
D: 1. Substitution Property; 2. Alternate Exterior Angles Theorem
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Daniel is constructing a fence that consists of parallel sides line AB and line EF.
(PHOTO ADDED!!...
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