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The measure of an angle whose complement is four ninths its supplement?æ is 18 degrees. It is calculated as follows: let y be the angle, its complement will be (90-y) degrees and its supplement will be (180-y)?æ degrees and?æ since it complement is?æ 4/9 its supplement; then?æ it is?æ?æ(90-y)= 4/9(180-y).?æ Hence, you will get 18 degrees when you solve the equation.
Suppose the angle is x degrees. Then its complement is 90 - x deg So 90 - x = 4*x ie 90 = 5x or x = 18 degrees.
objective complement
Complement of 81º = 99º
n = 99 degrees compliment = n-18 also, compliment = 180-n therefore n-18 = 180-n 2n = 198 n = 99