But angle dry is 37. Angle qtp is 48.

Here are the answers to your geometry questions, incorporating the additional information you provided.

Given:

• Circle with center O.
• QOT is a diameter.
• $\angle RQS = 46^\circ$.
• $\angle SRT = 37^\circ$.
• $\angle STU = 48^\circ$ (angle between tangent TU and chord ST).
• $\angle QTP = 48^\circ$.

We will use the following circle theorems:

• Alternate Segment Theorem: The angle between a tangent and a chord through the point of contact is equal to the angle in the alternate segment.
• Angle in a Semicircle: The angle subtended by a diameter at any point on the