Mathematics, 22.09.2021 22:20 staz13wiggins
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?
Question 5 options:
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
Answers: 2
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