Question

I need an answer as soon as possible. Please help

Answer 1

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].