Mathematics, 09.10.2020 15:01 stephliu721
Lines BC and ED are parallel. They are intersected by transversal AE, in which point B lies between points and E. They are also intersected by transversal EC. Angle ABC measures 70 degrees. Angle CED measures 30 degrees. Given: line BC is parallel to line ED mâ ABC = 70° mâ CED = 30° Prove:mâ BEC = 40° Statement Justification line BC is parallel to line ED Given mâ ABC = 70° Given mâ CED = 30° Given mâ ABC = mâ BED Corresponding Angles Theorem mâ BEC + 30° = 70° Substitution Property of Equality mâ BEC = 40° Subtraction Property of Equality Which of the following accurately completes the missing statement and justification of the two-column proof? mâ BEC + mâ CED = mâ BED; Definition of a Linear Pair mâ ABC + mâ BEC = mâ BED; Angle Addition Postulate mâ ABC + mâ BEC = mâ BED; Definition of a Linear Pair mâ BEC + mâ CED = mâ BED; Angle Addition Postulate
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