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Chennai Mathematical Institute B.Sc. Entrance Exam
2019 CMI B.Sc. Entrance Exam
4
CMI Entrance 19#4
CMI Entrance 19#4
Source:
October 31, 2019
CMI
geometry
parallelogram
Problem Statement
Let
A
B
C
D
ABCD
A
BC
D
be a parallelogram
.
.
.
Let
O
O
O
be a point in its interior such that
∠
A
O
B
+
∠
D
O
C
=
18
0
∘
.
\angle AOB + \angle DOC = 180^{\circ} .
∠
A
OB
+
∠
D
OC
=
18
0
∘
.
Show that
,
∠
O
D
C
=
∠
O
B
C
.
,\angle ODC = \angle OBC .
,
∠
O
D
C
=
∠
OBC
.
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