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An angle that measures 55 degrees is classified as an acute angle, which means it is less than 90 degrees. In trigonometry, this angle would fall in the first quadrant. It is commonly found in geometric shapes such as a right triangle or a pentagon.
The third quadrant.
Quadrant 4
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.
The first quadrant is the quarter if the infinite plane where for every point, the 'x' and 'y' coordinates are both positive.