Mathematics
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
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∠BEC + m∠CED = m∠BED Angle Addition Postulate
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?

Question 5 options:

m∠ABC = m∠CED; Corresponding Angles Theorem

m∠ABC = m∠CED; Alternate Interior Angles Theorem

m∠ABC = m∠BED; Corresponding Angles Theorem

m∠ABC = m∠BED; Alternate Interior Angles Theorem

answer
Answers: 2

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Lines BC and ED are parallel. They are intersected by transversal AE, in which point B lies between...

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