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15 August, 19:06

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 + m∠CED = m∠BED Angle Addition Postulate

(missing)

m∠BEC = 40° Subtraction Property of Equality

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

B. m∠BEC + 30° = 70°; Addition Property of Equality

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Answers (1)
  1. 15 August, 21:37
    0
    The correct option is A. m∠BEC + 30° = 70°; Substitution Property of Equality.

    Step-by-step explanation:

    Consider the provided information.

    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 + m∠CED = m∠BED Angle Addition Postulate

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

    m∠BEC = 40° Subtraction Property of Equality.

    We substitute the value of m∠CED=30° that is why it is know as substitution property of equality.

    Hence, the correct option is A. m∠BEC + 30° = 70°; Substitution Property of Equality.
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