The given angles in the triangle are 90°, 53°, and 38°.
Step 2: Use the triangle angle sum property
The sum of the angles in a triangle is always 180°. Therefore, we can verify the given angles:
\[ 90° + 53° + 37° = 180° \]
Step 3: Determine the unknown angles
Since the angles provided already sum to 180°, there are no unknown angles in this triangle. The values of \( X \) and \( Y \) are not angles but likely refer to the sides of the triangle, which are not provided in the problem.
Final Answer
The angles of the triangle are correctly given as 90°, 53°, and 37°. The values of \( X \) and \( Y \) cannot be determined from the given information.