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Mathematics
Mathematics
Problem
At point
O
O
O
, rays
O
A
OA
O
A
and
O
C
OC
O
C
form two adjacent angles with a common ray
O
B
OB
O
B
between them. If
∠
A
O
B
+
∠
B
O
C
=
180
∘
\angle AOB+\angle BOC=180^{\circ}
∠
A
O
B
+
∠
B
O
C
=
18
0
∘
, prove that rays
O
A
OA
O
A
and
O
C
OC
O
C
form a straight line.
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