Question

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

Explanation:

Step1: Recall the inscribed - angle theorem

In a circle, if two inscribed 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 \(\overset{\frown}{PQ}\) and angle \(STR\) intercepts arc \(\overset{\frown}{SR}\).

Answer:

\(\overset{\frown}{PQ}\) and \(\overset{\frown}{SR}\)