Question

If m ∠4 = m ∠5, then r||s. Summarize the postulate or theorem that makes this a true statement.

Answer 1

The statement, m∠4 = m∠5, then then r||s is true based on the converse of corresponding angles theorem.

What is the Converse of Corresponding Angles Theorem?

Based on the converse of corresponding angles theorem, if two corresponding angles, angles 4 and 5 are congruent or equal to each other, then the lines on which they lie on, lines r and s are congruent.

Therefore, based on the converse of corresponding angles theorem, m∠4 = m∠5, then then r||s.

Learn more about the converse of corresponding angles theorem on:

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