Question

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

Explanation:

Step1: Determine the full - rotation reference

A full 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 \(90^{\circ}\).

Step2: Estimate the additional angle

The given rotation is more than \(180^{\circ}\). By visual inspection, the angle from the negative \(x\) - axis to the terminal side is approximately \(40^{\circ}\) (since \(180 + 40=220\) which is within the range of estimation).

Answer:

\(220^{\circ}\)