Respuesta :

Answer:

Option D. [tex]40\°[/tex]

Step-by-step explanation:

we know that

The inscribed angle measures half that of the arc comprising

so

[tex]m<QPS=\frac{1}{2}(minor\ arc\ QS)[/tex]

we have

[tex]m<QPS=20\°[/tex] ----> given problem

substitute

[tex]20\°=\frac{1}{2}(minor\ arc\ QS)[/tex]

[tex]40\°=(minor\ arc\ QS)[/tex]

Rewrite

[tex]minor\ arc\ QS=40\°[/tex]