Type your answer What is the reference angle of the angle \( -260^{\circ} \) ? W out
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To find the reference angle of \(-260^{\circ}\), first convert it to a positive angle by adding \(360^{\circ}\), yielding \(100^{\circ}\). Since the reference angle is always measured from the x-axis within the first circle, you take \(100^{\circ}\) and subtract \(90^{\circ}\) (because it’s in the second quadrant), resulting in a reference angle of \(20^{\circ}\). Now that you’ve nailed the reference angle, try visualizing it! Think of a clock; if you go back \(260^{\circ}\), you land slightly past the 3 o’clock mark, and by flipping it across the x-axis you create that sharp, friendly \(20^{\circ}\) angle with the positive x-axis. It’s all about angles having fun together!