They are: 85 degrees and 175 degrees respectively
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Complementary angles sum to give 90 degrees. Therefore the complement to an 85 degree angle is a 5 degree angle.
Suppose the supplement of the angle is x degrees. Then the angle is 180 - x degrees. Therefore the complement of the angle is 90 - (180 - x) degrees = x - 90 degrees. So 5*(x - 90) - 2*x = 40 Solve the above equation for x.
Suppose the angle is x degrees. Its complement is 90 - x and supplement is 180 - x So 90 - x = 2/5*(180 - x) Multiply both sides by 5: 5*(90 - x) = 2*(180 - x) Simplify: 450 - 5x = 360 - 2x Add 5x to both sides: 450 = 360 + 3x Subtract 360 from both sides: 90 = 3x Divide both sides by 3: 30 = x Answer: 30 degrees.
complement: 90 - A A=angle 1/5 x (A) + 6 = (90 - A) 1/5 x A = 84 - A 1/5 x A + A = 84 6/5 x A = 84 6 A = 420 A = 70 degrees
15 degrees