Answer:
∠ WXY = 127°
Step-by-step explanation:
We know that for a given kite shape has different vertex angles but the two non-vertex angles are the same.
Now, we are given a kite WXYZ and angle ∠ XWY = 38° and angle ∠ ZYW = 15°.
Therefore, the two vertex angles are (38 ×2) = 76° and (15 × 2) = 30° respectively.
Now, the sum of two non-vertex angles = 360° - 76° - 30° = 254°
And each of non-vertex angle is = = 127°
{Since the two non-vertex angles are the same.}
Now, ∠ WXY is a non-vertex angle of the kite.
Hence, ∠ WXY = 127° (Answer)