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 Interior Angles Theorem
01 Substitution Property 2 Alternate Exterior Angles Theorem