Q3 of 141 Page 438

In the given figure, is a cyclic quadrilateral in which

If find


(i) (ii) (iii)


(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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