ABCD is a cyclic trapezium whose sides AD and BC are parallel

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ABCD is a cyclic trapezium whose sides AD and BC are parallel to each other. If ∠ABC = 72°, then the measure of the ∠BCD is

1. 162°
2. 18°
3. 108°
4. 72°

Correct Option: D

On the basis of question we draw a figure of cyclic trapezium ABCD whose sides AD and BC are parallel to each other ,

∠ABC + ∠CDA = 180°
⇒ ∠CDA = 180° – 72° = 108°
AD || BC
∠BCD = ∠ADE = ∠ABC = 72°