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Given XYZ, if XY = YZ, and m

Given XYZ, if XY = YZ, and m-example-1

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We have an isosceles triangle. as XY = YZ, and mBoth mThen, we can use the fact that the sum of the measures of all internal angles is 180° and calculate m
\begin{gathered} m\angle X+m\angle Y+m\angle Z=180\degree \\ 2m\angle Z+22=180 \\ 2m\angle Z=180-22 \\ 2m\angle Z=158 \\ m\angle Z=(158)/(2) \\ m\angle Z=79\degree \end{gathered}Answer: m

Given XYZ, if XY = YZ, and m-example-1