The complementary angle of an angle is 3/8 times of the supplementary angle of the original angle. Then find the ratio of original angle and supplementary angle.
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Then its supplementary angle is 180 - x and the complementary angle is 90 - x. Given (180 - x)/ (90 - x) = 8/3. Solving we get x = 36. Ratio of the angle to its supplementary is 36/(180 -36) = 36/144 = 1/4
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