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