The measure of an angle formed by two intersecting chords is half the sum of the me...
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Problem
The measure of an angle formed by two intersecting chords is half the sum of the measures of the intercepted arcs.
Step-by-step solution
The angle formed by intersecting chords is half the sum of the intercepted arcs. Thus, $\angle PTS = \frac{1}{2}(m\widehat{PS} + m\widehat{QR}) = \frac{1}{2}(60^{\circ} + 74^{\circ}) = \frac{1}{2}(134^{\circ}) = 67^{\circ}$.
Answer
$67^{\circ}$