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ABCD is a cyclic quadrilateral with AB ∥ DC and ∠DAB = 70°. Find ∠ABC.

Competition practiceGeometry
  • A70°
  • B110°
  • C90°
  • D140°

Step-by-Step Solution

AB ∥ DC makes ∠D = 180° − 70° = 110° (co-interior). In the cyclic quadrilateral ∠B = 180° − ∠D = 70°. (A cyclic trapezium is always isosceles.)
Answer: A) 70°

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