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X = 22°

Y = 50°

Z = 108°

Explanation:

Given :

From the diagram shown :

The diagram shows a parallelogram with sides of parallel and equal length.

Z = 108° (opposite angles are congruent)

X = 22° (Alternate angles)

To get Y:

108° + 22° + y = 180° (sum of angles in a triangle)

130° + y = 180°

y = 180° - 130°

y = 50°

Hence,

X = 22°

Y = 50°

Z = 108°