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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

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