In the figure , O is centre of the circle passing through A , D and B . If ∠ADB = 110° , find the measure of ∠AOB , corresponding to arc ADB .
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answer for the given problem is given
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In given figure ,O is the center of circle .∠AOB=100
0
Then external ∠AOB=360
0
−100
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=260
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We know that the angle subtended by an arc at the center of a circle is twice
the angle subtended by the same arc at any other point on the remaining part of the circle.
Arc ∠ADB=
2
1
Ex∠AOB=
2
1
×260=130
0
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