Q5 of 141 Page 438

In the given figure, is a cyclic quadrilateral in which is drawn parallel to and is produced. If and find

ABCD is cyclic quadrilateral.


∴ ∠ABC + ∠ADC = 180°


⇒ 92° + ∠ADC = 180°


⇒ ∠ADC = 88°


AE || CD


∴∠EAD = ∠ADC = 88°


Now,


∠BCD = ∠EAD + ∠EAF


⇒ ∠BCD = 88° + 20°


⇒ ∠BCD = 108°


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