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Mathematics
Mathematics
Problem
In quadrilateral
A
B
C
D
ABCD
A
B
C
D
, it is known that
∠
A
D
B
=
∠
A
C
B
=
48
∘
\angle ADB = \angle ACB = 48^{\circ}
∠
A
D
B
=
∠
A
C
B
=
4
8
∘
. In addition,
∠
B
A
D
=
70
∘
\angle BAD = 70^{\circ}
∠
B
A
D
=
7
0
∘
. a. (i) Show that
A
B
C
D
ABCD
A
B
C
D
is a cyclic quadrilateral. b. (ii) Find the measure of
∠
B
C
D
\angle BCD
∠
B
C
D
, giving full justification for your answer.
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