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musiclover10045
angle x is the same as the angle opposite it so 63 degrees

angle y = 180 - 72 - 63 = 45 degrees

 angle z is the same angle shown at point B so 72 degrees

The unknown angles of the parallelograms are as follows:

m∠x = 63°

m∠y = 45°

m∠z = 72°

Properties of a parallelogram

  • Opposite sides and angles are congruent.
  • Diagonal bisect each other.
  • Adjacent angles add up to 180 degrees.

Therefore,

m∠x = 63 degrees.

m∠z = 72 degrees (alternate angles)

Adjacent angles add up to 180 degrees.

Therefore,

m∠y + 72 + 63 = 180

m∠y = 180 - 72 - 63

m∠y = 45 degrees

learn more on parallelogram here: https://brainly.com/question/16578666

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