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Mathematics
Problem
In cyclic quadrilateral
A
B
C
D
ABCD
A
B
C
D
, chord
B
D
BD
B
D
subtends angles
∠
B
A
D
=
(
x
+
25
)
∘
\angle BAD = (x + 25)^{\circ}
∠
B
A
D
=
(
x
+
25
)
∘
at
A
A
A
and
∠
B
C
D
=
(
3
x
−
5
)
∘
\angle BCD = (3x - 5)^{\circ}
∠
B
C
D
=
(
3
x
−
5
)
∘
at
C
C
C
. If
∠
A
B
C
=
58
∘
\angle ABC = 58^{\circ}
∠
A
B
C
=
5
8
∘
, calculate
∠
A
D
C
\angle ADC
∠
A
D
C
. a)
140
∘
140^{\circ}
14
0
∘
b)
118
∘
118^{\circ}
11
8
∘
c)
122
∘
122^{\circ}
12
2
∘
d)
115
∘
115^{\circ}
11
5
∘
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