values of X and Y in the given figure
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2x* = 130*(angle at center is 2 times the angle at circumference )
x* = 130*/2
= 75*
now,
in triangle CDE, by angle sum property of triangles,
<C + <D + <E = 180*
40*+ <CDE + 75* = 180*
<CDE = 65*
<CDE = y* (interior opposite angle is equal to the exterior angle)
y* = 75*
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