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Mathematics
Mathematics
Problem
Points
A
,
B
,
C
,
A, B, C,
A
,
B
,
C
,
and
D
D
D
lie on a circle in that order. It is given that
∠
A
B
C
=
3
x
∘
\angle ABC = 3x^\circ
∠
A
B
C
=
3
x
∘
,
∠
A
D
C
=
(
x
+
40
)
∘
\angle ADC = (x + 40)^\circ
∠
A
D
C
=
(
x
+
40
)
∘
, and
∠
C
A
D
=
25
∘
\angle CAD = 25^\circ
∠
C
A
D
=
2
5
∘
. Find the measure of
∠
A
C
D
\angle ACD
∠
A
C
D
. a)
85
∘
85^\circ
8
5
∘
b)
95
∘
95^\circ
9
5
∘
c)
80
∘
80^\circ
8
0
∘
d)
100
∘
100^\circ
10
0
∘
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