Question

33) In the adjoing figure, it is given that CEBA,
_BAC = 50° and _ECD = 35. Find (i) ZACB
XO"
(ii) ZABC
34) In the given figure AOB is a straigh ​

Answer 1

a) Given,

AD∥BC

Then,

∠DAC=∠ACB=35

0

(Alternate angles)

∠DBC=∠DAC=35

o

(Angles on the same chord)

(b) ∠AOC+reflex ∠AOC=360

o

⇒130

o

+reflex ∠AOC=360

o

⇒reflex ∠AOC=360

o

−130

o

=230

o

Now arc BC subtends reflex ∠AOC at the centre and ∠ABC at the remaining part of the circle.

So, reflex ∠AOC=2∠ABC

⇒∠ABC=

2⋅reflex ∠AOC

1

⇒∠ABC=

2

1

×230

o

=115

o

Answer 2

Answer:

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