The measure of the missing angle is $33^\circ$.

Would you like more details or have any questions? Here are some related questions:

1. How do you find the missing angle in a right triangle?
2. What are the properties of a right triangle?
3. Can two angles in a triangle be equal?
4. How do you apply the angle sum property in different polygons?
5. How can you verify the sum of angles in any triangle?

Tip: In any triangle, the sum of the interior angles is always $180^\circ$.