Question

angles ptq and str are vertical angles and congruent. which arcs are congruent?

Explanation:

Step1: Recall circle - arc congruence property

In a circle, if two central angles are congruent, then the arcs they intercept are congruent. Since angles PTQ and STR are vertical angles and congruent, the arcs they intercept are congruent. Angle PTQ intercepts arc PQ and angle STR intercepts arc SR.

Answer:

$\overset{\frown}{PQ}$ and $\overset{\frown}{SR}$