Answer:
∠ RQS = 58°, ∠ SRT = 44°
Explanation:
The angle at the centre of a circle is equal to the measure of the arc that subtends it, then
angle at centre = arc QR = 76°
∠ RQS = 180° - (76 + 46)° ← sum of angles in a triangle
∠ RQS = 180° - 122° = 58°
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∠ SRQ = 90° ( angle in a semicircle )
∠ SRT = 90° - ∠ QRT = 90° - 46° = 44°