Discussion

Explanation:

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ADCE is a cyclic quadrilateral, so opposite angles are supplementary.

⇒  ∠ADC + ∠AEC = 180°

⇒  ∠ADC + 50° = 180°

⇒  ∠ADC = 130°

ABCD is a cyclic quadrilateral, so opposite angles are supplementary.

⇒ ∠ABC + ∠ADC = 180°

⇒ x + 30° + 130° = 180°

= x = 20°

⇒  ∠CBD = x = 20°

Hence, the correct answer is Option A

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