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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Find the value of the variable and the length of each secant segment.

Which expression is equivalent to 8(k + m) − 15(2k + 5m)?