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

Question

Philoid · Accepted Answer

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°