angles ptq and str are vertical angles and congruent. which arcs are congruent? o $widehat{sp}$ and…

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

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

Answer

Explanation:

Step1: Recall vertical - angle and arc - congruence relationship

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 $\overset{\frown}{PQ}$ and angle STR intercepts arc $\overset{\frown}{SR}$.

Answer:

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