Question

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

Explanation:

Step1: Recall standard - position of an angle

An angle in standard position has its vertex at the origin $(0,0)$ of the coordinate - plane and its initial side along the positive $x$ - axis.

Step2: Analyze the given angle

The given angle is $150^{\circ}$. Since $90^{\circ}<150^{\circ}<180^{\circ}$, the terminal side of the $150^{\circ}$ angle lies in the second quadrant.

Step3: Visualize the angle

To draw a $150^{\circ}$ angle in standard position, start with the initial side on the positive $x$ - axis and rotate counter - clockwise by $150^{\circ}$.

Answer:

The angle with its initial side on the positive $x$ - axis and terminal side in the second quadrant (rotated counter - clockwise by $150^{\circ}$ from the positive $x$ - axis) is the correct representation. Without seeing the actual options clearly (as the images in the options are not fully described in text), in general, the correct option should show an angle with vertex at the origin, initial side on the positive $x$ - axis and terminal side in the second quadrant.