Question

Please help me on this

Answer 1

Answer: Option A.

Step-by-step explanation:

The angle ∠QST and the angle ∠QSR are supplementary.

If two angles are supplementary, means that the sum of both angles is 180 degrees.

Thenrefore

$QST+QSR=180\°$

Solve for the angle ∠QSR and substitute the value of the angle ∠QST  to find the value of the angle ∠QSR. Then, solving the equation, you get:

$QSR=180\°-QST\\QSR=180\°-150\°\\\\QSR=30\°$

Then $tan(QSR)$ is:

$tan(30\°)=\frac{\sqrt{3}}{3}$

This matches with the option A.