Question

(01.07 MC) 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? 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 1

Answer:

m∠ABC = m∠BED; Corresponding Angles Theorem

Step-by-step explanation:

Given: line BC is parallel to line ED m∠ABC = 70° m∠CED = 30°

Prove: m∠BEC = 40°

Statement Justification

1. line BC is parallel to line ED - Given

2. m∠ABC = 70° - Given

3. m∠CED = 30° - Given

4. m∠BEC + m∠CED = m∠BED - Angle Addition Postulate

5. m∠ABC = m∠BED - Corresponding Angles Theorem

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

7. m∠BEC = 40° Subtraction Property of Equality

Answer 2

Answer:

m∠ABC = m∠BED - Corresponding Angles Theorem

Step-by-step explanation:

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