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Angle Z = 40° and Angle Y = 100°
Step-by-step explanation:
In triangle XYZ, it is given that XY = YZ.
So, XYZ is an isosceles triangle.
We know that in an isosceles triangle, the angles opposite to equal sides are also equal.
So, angle X = angle Z
Angle Z = 40° (as angle X = 40°)
Now, using angle sum property of a triangle,
Angle X + Angle Z + Angle Y = 180°
40°+40°+Angle Y = 180°
Angle Y = 180°-80°
Angle Y = 100°
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