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

2
by nano101
no it is not right
souvik, you are correct. answer it.
how is x=100?
ABO is isosceles with OA=OB. so angle ABO is also 50. so AOB = 80. x = 180-AOB = 180-80 = 100
ok i am

2015-03-01T02:45:00+05:30

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

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
2015-03-01T15:12:13+05:30

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X = 100°

since  the angle subtended by the common chord on the center is twice the angle subtended by any other point on the circle to that chord.

ABO is isosceles since