To determine which theorem could be used to find \( m∠5 \) given that \( m∠3 = 75° \), we need to consider the relative positions of the angles with respect to a pair of transversals and parallel lines.
If angles 3 and 5 are on the same side of the transversal and inside or outside the parallel lines, we can use either the Consecutive Interior Angles Theorem (if they are interior) or the Consecutive Exterior Angles Theorem (if they are exterior).
If angles 3 and 5 are on opposite sides of the transversal, we would use either the Alternate Interior Angles Theorem (if both are interior) or the Alternate Exterior Angles Theorem (if both are exterior).
Without specific information on how angles 3 and 5 relate to each other and to the parallel lines, we can't definitively choose one theorem over another. However, if we are given a context where you know the position of these angles, you can select accordingly.
Please clarify the arrangement of angles 3 and 5 to provide a more precise response.
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