1 .
[ A ]    85° [ B ]    50° [ C ]    45° [ D ]    90°
Answer : Option A Explanation : We know that, the triangle of same segment of a circle makes an equal angles. ∴ ∠XBY = ∠XAY= 45° In ∆BXY, ∠BXY+ ∠XBY+ ∠BYX= 180° $\implies$ 50° + 45° + ∠BYX = 180° (∵ ∠BXY= 50°) $\implies$ ∠BYX = 180° – 95° = 85°
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