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A full rotation takes 360 degrees. 1309 divided 360 is a little over 3. That mean that it requires 3 full rotations plus change. 1309 - 3(360) = 131. 131 degrees, which is greater than 90 but smaller than 180, is found in the second quadrant.

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In quadrant III.

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Q: What quadrant does angle 1309 degrees lie in?
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