Discussion
In a quadrilateral ABCD, if AB \(\parallel\) DC, ∠B = 70° and AB = CD, then :
Answer: B
The correct pair is ∠A = 110°, ∠C = 110°.
A quadrilateral in which one pair of opposite sides is both parallel and equal (AB ∥ DC and AB = CD) is a parallelogram.
In a parallelogram, opposite angles are equal and adjacent angles add up to 180°. So ∠D = ∠B = 70°, and ∠A = ∠C = 180° − 70° = 110°.
The other options put 70° at A or C, or 110° at D, which would make an angle adjacent to B equal to B, or the angle opposite B different from B.
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