1. ABCD is a cyclic trapezium with AD || BC . If ∠A = 105° , then other three angles are
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By: anil on 05 May 2019 01.50 am
ABCD is a cyclic trapezium and AD || BC Sum of angles on the same side of transversal = 180° => ∠A + ∠B = 180° => ∠B = 180° - 105° = 75° Also, sum of opposite angles of a cyclic quadrilateral = 180°
=> ∠A + ∠C = 180° => ∠C = 180° - 105° = 75° Similarly, ∠B + ∠D = 180° => ∠D = 180° - 75° = 105° => Ans - (A)
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=> ∠A + ∠C = 180° => ∠C = 180° - 105° = 75° Similarly, ∠B + ∠D = 180° => ∠D = 180° - 75° = 105° => Ans - (A)