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In a Triangle XYZ, side XY is congruent to YZ. If ≤ X=4x+60, < Y=2X+30 and < Z=14x + 30, find the measurements of the angle X, Y and Z.

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Answer to a math question In a Triangle XYZ, side XY is congruent to YZ. If ≤ X=4x+60, < Y=2X+30 and < Z=14x + 30, find the measurements of the angle X, Y and Z.

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Eliseo
4.6
106 Answers
la suma de los tres angulos de un triangulo es 180 grados (4x + 60) + (2x + 30) + (14x + 30) = 180 => 20x + 120 = 180 => 20x = 60 => x = 3 Los ángulos son los siguientes: ángulo X = 4x + 60 = (4x3) + 60 = 72 grados ángulo Y = 2x + 30 = (2x3) + 30 = 36 grados ángulo Z = 14x + 30 = (14x3) + 30 = 72 grados

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