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" alt="">
' href='chapter-16-circles-ex-16_4-solutions-1.aspx'>In the given figure, O and O' are centres of two circles intersecting at B and C. ACD is a straight line, find x.



Answer -

It is given that
Two circles having center O and O' and ∠AOB = 130°
And AC is diameter of circle having center O
  
We have
So
 
Now, reflex  
So
 
x°=360°−230°=130°x°=360°-230°=130°
Hence,  

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