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QUESTION IMAGE

decide whether there is enough information to prove m||n. if so can use…

Question

decide whether there is enough information to prove m||n. if so can use corresponding angles converse to can use alternate interior angles converse to can use alternate exterior angles converse to can use consecutive interior angles converse to cannot for the blank below. you prove m||n.

Explanation:

Step1: Identify angle - type relationship

The angles shown are corresponding angles formed by lines \(m\), \(n\) and transversal \(r\).

Step2: Apply relevant converse theorem

The Corresponding Angles Converse states that if corresponding angles are congruent, then the two lines are parallel. Since we assume the corresponding angles are congruent (implied by the problem - setup to prove parallelism), we can use this theorem.

Answer:

Yes, can use Corresponding Angles Converse to prove \(m\parallel n\)