Mathematics, 08.09.2020 20:01 kamraaa
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 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. Complete the pro...
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