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CBSE Class 9 Answered

If O is the center of the circle. FindangleCBD

Asked by harjot.arshleen | 03 Feb, 2021, 02:42: PM
Expert Answer
Using subtended angle property i.e. " angle subtended by an arc at the centre is double the angle subtended by the same arc at a point on the circumference of a circle", we have

angle AOC equals 2 angle APC
rightwards double arrow angle APC equals fraction numerator angle AOC over denominator 2 end fraction equals 55 degree
As space opposite space angles space in space straight a space cyclic space quadrilateral space sum space up space to space 180 degree
rightwards double arrow angle APC plus angle ABC equals 180 degree
rightwards double arrow angle ABC equals 125 degree
Also comma space angle CBD plus angle ABC equals 180 degree
rightwards double arrow angle CBD equals 55 degree
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