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18) a) 40° b) 65° c) 55° d) 50°

Question

18)
a) 40° b) 65°
c) 55° d) 50°

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 \(50^{\circ}\) angle and the unknown angle are alternate - interior angles.

Answer:

D. \(50^{\circ}\)