Question

estimate the given rotation within 10 degrees:
answer attempt 1 out of 3
estimated angle: °

Explanation:

Step1: Analyze the position of the angle

The angle is in the third - quadrant. A full - circle rotation is \(360^{\circ}\). The positive \(x\) - axis to the negative \(x\) - axis is \(180^{\circ}\), and the negative \(x\) - axis to the negative \(y\) - axis is another \(90^{\circ}\).

Step2: Estimate the angle

The given angle is a little more than \(200^{\circ}\). If we consider that from the positive \(x\) - axis, a counter - clockwise rotation: \(180^{\circ}\) gets us to the negative \(x\) - axis. The additional rotation into the third quadrant. A rough estimate: if we assume that the angle is about \(20^{\circ}\) more than \(180^{\circ}\) (since it is not too close to \(270^{\circ}\)).

Answer:

\(200^{\circ}\)