1. **Problem Statement:** We have two similar quadrilaterals. The top-left quadrilateral has angles 90°, 106°, 90°, and 74°. The bottom-center quadrilateral is similar but has one missing angle. We need to find the measure of this missing angle. 2. **Key Concept:** In similar figures, corresponding angles are equal. Therefore, the missing angle in the second quadrilateral corresponds to one of the angles in the first quadrilateral. 3. **Step-by-step Solution:** - The angles in the first quadrilateral are 90°, 106°, 90°, and 74°. - Since the figures are similar, the missing angle in the second quadrilateral must be equal to one of these angles. - The missing angle is at the bottom-left corner of the second quadrilateral, which corresponds to the 74° angle in the first quadrilateral (based on position). 4. **Final Answer:** $$\boxed{74^\circ}$$