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Mathematics
Mathematics
Problem
In quadrilateral
A
B
C
D
ABCD
A
B
C
D
, it is given that
∠
A
C
B
=
∠
A
D
B
=
35
∘
\angle ACB = \angle ADB = 35^{\circ}
∠
A
C
B
=
∠
A
D
B
=
3
5
∘
, both measured on the same side of
A
B
AB
A
B
. If
∠
A
D
C
=
100
∘
\angle ADC = 100^{\circ}
∠
A
D
C
=
10
0
∘
, what is the measure of
∠
A
B
C
\angle ABC
∠
A
B
C
? a)
100
∘
100^{\circ}
10
0
∘
b)
80
∘
80^{\circ}
8
0
∘
c)
70
∘
70^{\circ}
7
0
∘
d)
145
∘
145^{\circ}
14
5
∘
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