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Question

What is the value of DBC in the above figure?

A
20
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B
100
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C
60
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D
70
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Solution

The correct option is C 60
Since the angle subtended by an arc at the centre of a circle is double the angle subtended by it at any remaining point of the circle,
AOB=2×ACB
ACB=12×AOB=12×40=20
Using angle sum property in BDC,
DBC+BCD+CDB=180.
DBC=18020100
=60

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