In the given, AB || CD. Then X is equal to:

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In the given, AB || CD. Then X is equal to:

1. 93°
2. 103°
3. 83°
4. 97°
5. None of these

Correct Option: E

Through O, draw a line l parallel to both AB and CD. Then
∠1 = 45° (alt. ∠S)
and ∠2 = 30° (alt. ∠S)
∴ ∠BOC = ∠1 + ∠2 = 45° + 30° = 75°
So, X = 360° – ∠BOC = 360° – 75° = 285°
Hence X = 285°.