Mathematics, 20.09.2020 05:01 babyphoraaaaa
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 BEC + mâ CED = mâ BED Angle Addition Postulate 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 ABC = mâ CED; Corresponding Angles Theorem mâ ABC = mâ CED; Alternate Interior Angles Theorem mâ ABC = mâ BED; Corresponding Angles Theorem mâ ABC = mâ BED; Alternate Interior Angles Theorem
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