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Line ED is parallel to FB. Transversal GH crosses line ED at C and crosses line FB at A. The measure of angle ECG is 121 degrees.


Greg is constructing a fence that consists of parallel sides line ED and line FB. Complete the proof to explain how he can show that m∠FAC = 121° by finding the missing justifications.



Statement Justification

line ED ∥ line FB

m∠ECG = 121° Given

m∠ECG + m∠ECA = 180° Linear Pair Postulate

m∠FAC + m∠ECA = 180° 1.

m∠ECG + m∠ECA = m∠FAC + m∠ECA Transitive Property

m∠ECG = m∠FAC Subtraction Property

m∠FAC = m∠ECG Symmetric Property

m∠FAC = 121° 2.


A. 1. Corresponding Angles Theorem; 2. Definition of Supplementary Angles

B. 1. Definition of Supplementary Angles; 2. Corresponding Angles Theorem

C. 1. Same-Side Interior Angles Theorem; 2. Substitution Property

D. 1. Substitution Property; 2. Same-Side Interior Angles Theorem

User The Venom
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1 Answer

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I believe C is the correct answer :) good luck
User Dan Weaver
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