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
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