But angle dry is 37. Angle qtp is 48.
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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
