Ask Question
12 April, 22:28

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

+5
Answers (1)
  1. 12 April, 22:53
    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.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “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 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers