SOLUTION: In the diagram, chords $\overline{XY}$ and $\overline{VW}$ are extended to meet at $U.$ If $\angle UXY = 25^\circ$, minor arc $VW$ is $155^\circ$, and minor arc $XY$ is $82^\circ$

Algebra ->  Geometry-proofs -> SOLUTION: In the diagram, chords $\overline{XY}$ and $\overline{VW}$ are extended to meet at $U.$ If $\angle UXY = 25^\circ$, minor arc $VW$ is $155^\circ$, and minor arc $XY$ is $82^\circ$      Log On


   

Question 1210568: In the diagram, chords $\overline{XY}$ and $\overline{VW}$ are extended to meet at $U.$ If $\angle UXY = 25^\circ$, minor arc $VW$ is $155^\circ$, and minor arc $XY$ is $82^\circ$, find arc $UW$, in degrees.
Answer by ikleyn(53617) About Me  (Show Source):
You can put this solution on YOUR website!
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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.