Question

draw the angle in standard position. 150° choose the correct answer.

Explanation:

Step1: Recall standard - position angle definition

An angle in standard position has its vertex at the origin and its initial side along the positive x - axis.

Step2: Analyze the given angle

The angle $\theta = 150^{\circ}$ is between $90^{\circ}$ and $180^{\circ}$, so it lies in the second quadrant.

Step3: Check each option

Option A: The angle shown is in the fourth quadrant.
Option B: The angle shown is in the third quadrant.
Option C: The angle has its initial side on the positive x - axis, vertex at the origin and terminal side in the second quadrant which is correct for a $150^{\circ}$ angle.
Option D: The angle shown is in the first quadrant.

Answer:

C.