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Mathematics
Mathematics
Problem
Quadrilateral
A
B
C
D
ABCD
A
B
C
D
has side lengths
A
B
=
5
m
AB = 5\,\text{m}
A
B
=
5
m
,
B
C
=
8
m
BC = 8\,\text{m}
B
C
=
8
m
,
C
D
=
12
m
CD = 12\,\text{m}
C
D
=
12
m
, and
D
A
=
10
m
DA = 10\,\text{m}
D
A
=
10
m
. If the angle
∠
A
B
C
\angle ABC
∠
A
B
C
is
120
∘
120^{\circ}
12
0
∘
, find the length of diagonal
A
C
AC
A
C
and then calculate angle
∠
A
D
C
\angle ADC
∠
A
D
C
to the nearest degree.
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