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When one half of the supplement of an angle is added to the complement of the angle the result is 120 degrees can you find the measure of the complement?
Wiki User
∙ 13y ago
X = "the angle".
Supplement of the angle = (180-x).
Complement of the angle = (90-x).
The statement says: . . . 1/2 (180-x) + (90-x) = 120
Eliminate the first set of parentheses: . . . 90 - x/2 + (90-x) = 120
Eliminate the second set of parentheses: . . . 90 - x/2 + 90 - x = 120
Combine the 'x' terms on the left: . . . 90 + 90 - 3x/2 = 120
Subtract 180 from each side: . . . -3x/2 = -60
Multiply each side by -2: . . . 3x = 120
Divide each side by 3: . . . x = 40
Wiki User
∙ 13y ago
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