Q. 34.6( 8 Votes )

# In the given figure, is a cyclic quadrilateral in which

If find

(i) (ii) (iii)

Answer :

(i)

∠BAD + ∠BCD = 180°[Opposite angles of a cyclic quadrilateral arc supplementary]

⇒ 100° + ∠BCD = 180°

⇒ ∠BCD = 80°

(ii)

∠BAD + ∠ADC = 180°[Interior angles of same side]

⇒ 100° + ∠ADC = 180°

⇒ ∠ADC = 80°

(iii)

∠BCD + ∠ABC = 180°[Interior angles of same side]

⇒ 80° + ∠ABC = 180°

⇒ ∠ABC = 100°

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