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Mathematics, 09.09.2021 23:50 130004979

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?
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

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Answers: 3

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You know the right answer?
Given: line BC is parallel to line ED m∠ABC = 70°
m∠CED = 30°

Prove: m∠BEC = 40°...
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