1.

Find the values of x and y using properties of a circle.

Answer»

Angle DAB + angle DCB = 180      (sum of opposite sides of a CYCLIC QUADRILATERAL)
angleDCB +50 =180
angle DCB =130
.'. angle y= 130

'.' OA=OB                                    (radius of circle)
angle OAB = angle OBA = 50        (angles opposite to equal sides are equal)
angle OAB + angle OBA = angle BOD      (exterior angle property of triangle)
50 +50 =angle x
100 =angle x



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