Discussion

Explanation:

​​​​​​​

Angle subtended by an arc on circle is half of the angle it makes at the center.
∴​​​​​​​ Considering arc CD, it makes an angle of 120° at the center hence ∠CAD = 60°.

⇒ ∠BAD = 90°

Now, in a cyclic quadrilateral, sum of opposite angle = 90°.

⇒ ∠BAD + ∠BCD = 90°
∴ ∠BCD = 90°

Hence, 90.

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