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    Reference Angle

    How to find the positive acute reference angle

    The reference angle is the positive acute angle that can represent an angle of any measure. Basically, any angle on the x-y plane has a reference angle, which is always between 0 and 90 degrees. The reference angle is always the smallest angle that you can make from the terminal side of an angle (ie where the angle ends) with the x-axis. A reference angle always uses the x-axis as its frame of reference.

    Rules of Angles and Reference angle



    Positive angles go in a counter clockwise direction. Below is a picture of a positive fifty degree angle

    Reference Angles in Quadrant II

    What is the reference angle for the angle in the graph below?
    Answer

    What is the reference angle for a 210° angle?
    Answer

    What is the reference angle for a 300° angle?
    Answer