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Snezhnost [94]
2 years ago
10

Please help me on this

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
7 0

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.

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