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Mathematics
Problem
A
B
C
D
ABCD
A
B
C
D
is a cyclic quadrilateral in which
A
B
∥
C
D
AB \parallel CD
A
B
∥
C
D
and
∠
A
B
C
=
50
∘
\angle ABC = 50^\circ
∠
A
B
C
=
5
0
∘
. a. (i) Calculate
∠
A
D
C
\angle ADC
∠
A
D
C
. b. (ii) Determine
∠
B
A
D
\angle BAD
∠
B
A
D
and
∠
B
C
D
\angle BCD
∠
B
C
D
. c. (iii) Find the ratio
∠
B
A
D
:
∠
B
C
D
\angle BAD : \angle BCD
∠
B
A
D
:
∠
B
C
D
.
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