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Mathematics
Mathematics
Problem
In a circle with centre
O
O
O
, chords
A
B
AB
A
B
and
A
C
AC
A
C
are equal. It is given that
∠
A
O
B
=
110
∘
\angle AOB = 110^{\circ}
∠
A
O
B
=
11
0
∘
. A diameter through
A
A
A
meets the circle again at
D
D
D
. a. (i) Find
∠
A
B
C
\angle ABC
∠
A
B
C
. b. (ii) Find
∠
A
D
C
\angle ADC
∠
A
D
C
.
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