The measure of an angle formed by two intersecting chords is half the sum of the me...

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Step-by-step solution

The angle formed by intersecting chords is half the sum of the intercepted arcs. Thus, $\angle PTS = \frac{1}{2}(m\widehat{PS} + m\widehat{QR}) = \frac{1}{2}(60^{\circ} + 74^{\circ}) = \frac{1}{2}(134^{\circ}) = 67^{\circ}$.

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Answer

$67^{\circ}$