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Answer:

[tex]tan QSR = tan 30 \\=\frac{1}{\sqrt{3} }[/tex]

Step-by-step explanation:

Given in the attachment is a picture of a triangle with sides QR, RS and QS

The triangle is right angles at R

One exterior angle QST is given as 150 degrees.

Angle QSR is the linear pair of QST

Hence QSR and QST are supplementary

i.e. Angle QSR = 30 degrees

[tex]tan QSR = tan 30 \\=\frac{1}{\sqrt{3} }[/tex]