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What is the reference angle for a angle?
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Identify the quadrant in which the given angle 240° lies. Since 240° is between 180° and 270°, it is in the third quadrant.
Recall that the reference angle is the acute angle formed between the terminal side of the given angle and the x-axis.
For angles in the third quadrant, the reference angle \( \theta_{ref} \) is found by subtracting 180° from the given angle: \( \theta_{ref} = \theta - 180^\circ \).
Substitute the given angle into the formula: \( \theta_{ref} = 240^\circ - 180^\circ \).
Simplify the expression to find the reference angle.