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

1 Answer
Jun 6, 2018

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)#.

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