Respuesta :

Hrishii

Answer:

A. [tex] \frac{\sqrt 3}{3}[/tex]

Step-by-step explanation:

[tex]m\angle QSR = 180\degree - 150\degree \\ (Linear \: pair\: \angle s) \\ \\m\angle QSR = 30\degree \\ \\ \tan( \angle QSR) = \tan \: 30 \degree \\ \\ = \frac{1}{ \sqrt{3} } \\ \\ = \frac{ \sqrt{3} }{3} [/tex]

Answer:

because

TSR + QSR = 180⁰

<=> 150⁰ + QSR = 180⁰

=> QSR = 30⁰

so

[tex] \tan(qsr) = \tan(30) = \frac{ \sqrt{3} }{3} [/tex]