Greg is constructing a fence that consists of parallel sides ED and FB. Complete the proof to explain how he can show that m_FAC = 121° by finding the missing
justifications
Statement
Justification
ED FB
Given
MZECG = 121
MZECG + MZECA = 180°
Linear Pair Postulate
mZFAC + M&ECA = 180°
1
MZECG + MZECA = m_FAC + MZECA Transitive Property
mŁECG = m_FAC
Subtraction Property
mZFAC = m ECG
Symmetric Property
m_FAC = 121
2
01. Corresponding Angles Theorem. 2. Definition of Supplementary Angles
O 1. Definition of Supplementary Angles; 2. Corresponding Angles Theorem
01. Same-Side Interior Angles Theorem; 2. Substitution Property
01. Substitution Property 2 Same-Side Interior Angles Theorem