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15) a) 71° b) 66° c) 50° d) 59°

Question

  1. a) 71° b) 66° c) 50° d) 59°

Explanation:

Step1: Use the property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are equal.

Step2: Identify the relationship

The given angle of \(71^{\circ}\) and the unknown angle are alternate - interior angles.

Answer:

A. \(71^{\circ}\)