Question

estimate the given rotation within 10 degrees: answer attempt 2 out of 3 estimated angle: °

Explanation:

Step1: Analyze the position of the terminal side

The positive \(x -\)axis is the initial side. A full - circle rotation is \(360^{\circ}\), a half - circle is \(180^{\circ}\), and a quarter - circle is \(90^{\circ}\). The terminal side is in the third quadrant.

Step2: Estimate the angle

The angle from the positive \(x -\)axis to the negative \(x -\)axis is \(180^{\circ}\), and from the negative \(x -\)axis to the negative \(y -\)axis is another \(90^{\circ}\). The terminal side is about \(20^{\circ}\) more than \(180^{\circ}\) (since it is not too close to \(270^{\circ}\)).

Answer:

\(200^{\circ}\)