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Byju's Answer
Standard IX
Mathematics
Area of Any Polygon - by Heron's Formula
In given fig....
Question
In given fig.
40
D
C
−
Δ
O
B
A
,
∠
B
O
C
=
125
∘
and
∠
C
D
O
=
70
∘
. Find
∠
D
O
C
,
∠
D
C
O
and
∠
O
A
B
?
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Solution
∠
O
A
B
=
∠
O
C
D
as they are interior opposite angles
∠
O
A
B
=
55
o
∠
O
D
C
=
∠
O
B
A
=
70
o
∠
B
O
C
=
125
o
Finding
∠
D
O
C
,
∠
D
C
O
and
∠
O
A
B
∠
B
O
C
+
∠
C
O
D
=
180
o
(as BD is straight line)
∠
C
O
D
=
∠
D
O
C
=
180
−
125
=
55
o
triangle ODC sum of angles =
180
o
70
+
55
+
∠
D
C
O
=
180
∠
D
C
O
=
180
−
125
=
55
o
.
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Similar questions
Q.
In Fig.,
Δ
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D
C
∼
Δ
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B
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,
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∘
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Q.
In figure
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Δ
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∘
and
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Q.
In the following figure, ΔODC ∼ ΔOBA, ∠BOC = 125° and ∠CDO = 70°. Find ∠DOC, ∠DCO and ∠OAB