Question

1 multiple choice 1 point sketch the angle in standard position. 350°

Explanation:

Step1: Recall the definition of an angle in standard position

An angle in standard position has its vertex at the origin and its initial side on the positive \(x -\)axis.

Step2: Analyze the given angle \(350^{\circ}\)

Since \(350^{\circ}=360^{\circ}- 10^{\circ}\), it is a positive angle (rotated counter - clockwise) that is \(10^{\circ}\) less than a full rotation (\(360^{\circ}\)). So, the terminal side is \(10^{\circ}\) above the positive \(x -\)axis (but since we rotate counter - clockwise, it is \(10^{\circ}\) below the positive \(x -\)axis when measured from the positive \(x -\)axis in the counter - clockwise direction).

Answer:

The first diagram (the one with the terminal side close to the positive \(x -\)axis in the counter - clockwise direction) is the correct sketch of the \(350^{\circ}\) angle in standard position.