Please help me on this

Question

asked May 15, 2020 148k views

1 Answer

Krzysztof Voss · Answer 1 · 2020-05-19T20:15:00+0000

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.