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Mathematics, 02.12.2021 02:50 angelicadattoli
Daniel is constructing a fence that consists of parallel sides AB and EF. Complete the proof to explain how he can show that m GKB = 120° by filling in the missing justifications
Statement
Justification
ABEF
MELJ = 120
Given
MELJ + MZELK = 180°
Linear Pair Postulate
m_BKL + m2GKB = 180°
Linear Pair Postulate
MZELJ + MZELK = m_BKL + m2GKB Transitive Property
LELK & LBKL
1
MELK = mBKL
2
MLELJ + MZELK = MELK + m2GKB Substitution Property
MELJ = mzGKB
Subtraction Property
m_GKB = MELJ
Symmetric Property
m_GKB = 120
Substitution
01. Alternate Intenor Angles Theorem, 2. Definition of Congruence
O1 Alternate Exterior Angles Theorem, 2. Substitution Property
O1 Definition of Congruence, 2. Alternate Inte
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