In Fig. ABCD is a quadrilateral with ZB = 56° and
ZD = 104°. If B
AD and BCD are in the ratio,
2:3, find the values of 21 and 22.
А
10.40 Go
569
B4
C
2
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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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