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Mathematics, 05.01.2021 23:00, bcaughman6885
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 mâ FAC = 121° by finding the missing justifications.
StatementJustification
line ED â„ line FB
mâ ECG = 121°Given
mâ ECG + mâ ECA = 180°Linear Pair Postulate
mâ FAC + mâ ECA = 180°1.
mâ ECG + mâ ECA = mâ FAC + mâ ECATransitive Property
mâ ECG = mâ FACSubtraction Property
mâ FAC = mâ ECGSymmetric Property
mâ FAC = 121°2.
1. Corresponding Angles Theorem; 2. Definition of Supplementary Angles
1. Definition of Supplementary Angles; 2. Corresponding Angles Theorem
1. Same-Side Interior Angles Theorem; 2. Substitution Property
1. Substitution Property; 2. Same-Side Interior Angles Theorem
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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...
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