Question

Please help me on this

Answer 1

Answer: Option A.

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\°)=(√(3))/(3)`

This matches with the option A.