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Omni-MATH / In triangle XYZ, XY=XZ and W is on XZ such that XW=WY=YZ. What is the measure of ∠XYW?

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problem

In triangle XYZXYZ, XY=XZXY=XZ and WW is on XZXZ such that XW=WY=YZXW=WY=YZ. What is the measure of ∠XYW\angle XYW?
Plain-text mathematical notation (without MathML)
In triangle XYZ, XY=XZ and W is on XZ such that XW=WY=YZ. What is the measure of ∠XYW?
Original LaTeX notation
In triangle $XYZ$, $XY=XZ$ and $W$ is on $XZ$ such that $XW=WY=YZ$. What is the measure of $\angle XYW$?

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