Please help!!! 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

m∠ABC = 70°

m∠CED = 30°

Prove:m∠BEC = 40°

Statement Justification

line BC is parallel to line ED Given

m∠ABC = 70° Given

m∠CED = 30° Given

m∠ABC = m∠BED Corresponding Angles Theorem

m∠BEC + 30° = 70° Substitution Property of Equality

m∠BEC = 40° Subtraction Property of Equality

Which of the following accurately completes the missing statement and justification of the two-column proof?

m∠BEC + m∠CED = m∠BED; Definition of a Linear Pair

m∠ABC + m∠BEC = m∠BED; Angle Addition Postulate

m∠ABC + m∠BEC = m∠BED; Definition of a Linear Pair

m∠BEC + m∠CED = m∠BED; Angle Addition Postulate

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