A polar coordinate system locates a point in a plane by its distance from the origin O and by the measure of an angle with its vertex at the origin. For example, the point A(2, 30°) at the right is 2 units from the origin and m∠XOA = 30°. What are the polar coordinates of the image of point A after a 90 rotation? 180 rotation? 270° rotation? Explain.

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150° 180°- 210⁰ 120° 240° 90° 270° 60° 300° 30° X 3 0° 330°