Respuesta :
Let one of the angle be x,
The other is = 3x + 54
If angles are supplementary it means they both add up to 180°
Therefore: x + (3x + 54) = 180
x + 3x + 54 = 180
4x + 54 = 180
4x = 180 - 54
4x = 126
x = 126/4 = 31.5
So the angles are x, (x + 54) = 31.5, (31.5 + 54) = 85.5
Measures of angles are 31.5° and 85.5°
The other is = 3x + 54
If angles are supplementary it means they both add up to 180°
Therefore: x + (3x + 54) = 180
x + 3x + 54 = 180
4x + 54 = 180
4x = 180 - 54
4x = 126
x = 126/4 = 31.5
So the angles are x, (x + 54) = 31.5, (31.5 + 54) = 85.5
Measures of angles are 31.5° and 85.5°
Another angle: α
Three times another angle 3α
54 degrees more: +54°
The one angle: 3α + 54°
Angles are supplementary, so: α + 3α+54° = 180°
4α = 180° - 54°
4α = 126°
4α :4 = 126° :4
another angle: α = 31.5°
The one angle: 3·31.5° + 54° = 94.5 + 54° = 148.5°
The maesures of angles are: 31.5° and 148.5°
Three times another angle 3α
54 degrees more: +54°
The one angle: 3α + 54°
Angles are supplementary, so: α + 3α+54° = 180°
4α = 180° - 54°
4α = 126°
4α :4 = 126° :4
another angle: α = 31.5°
The one angle: 3·31.5° + 54° = 94.5 + 54° = 148.5°
The maesures of angles are: 31.5° and 148.5°