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Step-by-step explanation:
Since the two triangles are congruent this means that corresponding angles are congruent so
Angle X= Angle M
Angle Y equal Angle N
Angle Z equal Angle L.
That means that Angle M is 33 degrees.
Angle Y is 124 degrees.
We can find Angle Z by doing triangle interior theorem.
[tex]124 + 33 + x = 180[/tex]
[tex]157 + x = 180[/tex]
[tex]x = 23[/tex]
So Angle Z equal 23.
Congruent triangles also have corresponding sides that are equal so that means
XY=MN
YZ=NL
XZ= ML
So that means XY=8