Question

angles ptq and str are vertical angles and congruent. which arcs are congruent? o sp and sr o pq and sr o pq and qr o sp and pr

Explanation:

Step1: Recall the vertical - angles and arc - angle relationship

In a circle, if two central angles (or inscribed angles subtended by the same arcs) are congruent, the arcs they intercept are congruent. Vertical angles in a circle intercept congruent arcs. Angles PTQ and STR are vertical angles. Angle PTQ intercepts arc $\widehat{PQ}$ and angle STR intercepts arc $\widehat{SR}$.

Answer:

$\widehat{PQ}$ and $\widehat{SR}$