Do you agree that Jatin's arrival was more an occasion for despair th happiness? If yes, cite the reason.
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Answer:
ABCD is a cyclic quadrilateral.
Then, ∠ABC+∠ADC=180
o
...[Opposite angles of a cyclic quadrilateral are supplementary]
⇒ ∠ABC=180
∘
−110
∘
=70
∘
.
In △ABC,
∠ABC+∠ACB+∠BAC=180
o
...[Angle sum property]
⇒ 70
o
+∠ACB+50
o
=180
o
⇒ ∠ACB=180
∘
−(50
∘
+70
∘
)=60
∘
.
Given, BC and AD are parallel,
⇒∠ACB=∠DAC=60
∘
...[Alternate interior angles].
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