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 $82^\circ$

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)   (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.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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.

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