Question

How do you find the reference angle for the given angle 220?

Answer 1

The reference angle for `color(blue)(220^circ)` is `color(red)(40^circ)`

Explanation:

For any angle, the reference angle is the absolute difference between that angle and the nearest multiple of `180^circ`. One way to look at this is that the reference angle is the angle between the given angle and the x-axis.

In this case, the nearest multiple of `180^circ` to `color(blue)(220^circ)` is `180^circ`, and the reference angle is `abs(180^circ-color(blue)(220^circ))=color(red)(40^circ)`.