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Varshamittal029idn

The angle of X is 108°

Given,

XW ≅ YZ

∠Z = 72°

then ∠X = ?

Properties of trapezoid are:

  • The base sides are the only pair of sides that are parallel. 
  • Other than the base, the remaining sides are all non-parallel and equal in length. 
  • The length of the diagonals is constant. 
  • the same for the base angles. 

We know that from the figure that ∠Z = ∠V & ∠W = ∠U

∵ Isosceles trapezoid rule

And sum of all the angles in a trapezoid = 360°

Now, 2 × 72 = 144

∴ 360 ₋ 144 = 216°

Now sum of other two angles = 216°

                              one angle = 216/2

                                               = 108°

Therefore the angle of ∠X is 108°

Learn more about "Quadrilateral" here-

brainly.com/question/16691874

#SPJ10

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