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Answer:
115°
Step-by-step explanation:
A kite is symmetrical about the long diagonal, so the angles at the ends of the short diagonal are congruent. The given angles, X and Z, are not congruent, so are at the ends of the long diagonal. The remaining two angles, W and Y, are congruent, and bring the total of all angles to 360°.
90° +40° +2W = 360°
2W = 230° . . . . . . . . . subtract 130°
m∠W = 115°