Question 1210568
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In the diagram, chords XY and VW are extended to meet at U. 
If angle UXY = 25 degs, minor arc VW is 155 degs, and minor arc XY is 82 degs, find arc UW, in degrees.
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This problem is  FATALLY  DEFECTIVE,  and  I  will explain  WHY  it is so,  right now in two positions.


        Position  1.    XY  is extended to point  U - - - THEREFORE, angle  UXY  can not be  25  degs.


        Position  2.    UW  is not an arc,  since  U  is a point out of the circle,  according to the problem.



So,  your  " problem "  is rotten from the surface to the core.