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Question

In the figure, O is the centre of the circle and DAB=50o. Calculate the values of x and y.


Solution

In the figure, O is the centre of the circle and DAB=50o.

 ABCD is a cyclic quadrilateral,

A+C=180o

50o+y=180oy=180o50o=130o

In ΔOAB, OA = OB (Radii of the circle)

OAB=OBA=50o

Now, DOB=OAB+OBA

x=50o+50o=100o

x=100o, y=130o


Mathematics
RD Sharma
Standard IX

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