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Byju's Answer
Standard IX
Mathematics
Quadrilaterals
In the figure...
Question
In the figure,
∠
CBD
=
110
o
. Find
∠
AOC.
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Solution
Given that:
∠
C
B
D
=
110
∘
To find:
∠
A
O
C
=
?
Solution:
∠
A
B
C
+
∠
C
B
D
=
180
∘
(Linear pair)
or,
∠
A
B
C
+
110
∘
=
180
∘
or,
∠
A
B
C
=
70
∘
∠
A
O
C
=
2
∠
A
B
C
(Angle subtended by an arc at the centre is twice of the angle subtended by it at any point on the circle.)
or,
∠
A
O
C
=
2
×
70
∘
=
140
∘
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Similar questions
Q.
In figure,
∠
A
O
C
+
∠
B
O
D
=
110
o
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∠
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O
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Q.
In the figure, given alongside,
A
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is a diameter of the circle and
∠
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Q.
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and side AB is produced to D.
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