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Question
In ∆ABC, a line XY parallel to BC cuts AB at X and AC at Y. If BY bisects ∠XYC, then
Options
BC = CY
BC = BY
BC ≠ CY
BC ≠ BY
Solution
Given: XY||BC and BY is bisector of
Since XY||BC
So
Now, in triangle BYC two angles are equal. Therefore, the two corresponding sides will be equal.
Hence, BC = CY
Hence option (a) is correct.
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