Supplement of angle is four times its complent angle find angle
x = the angle
Complement: 90° - x
Supplement: 180° - x
180° - x = 4 ∙ ( 90° - x )
180° - x = 4 ∙ 90° - 4 ∙ x
180° - x = 360° - 4 x Add 4 x to both sides
180° - x + 4 x = 360° - 4 x - 4 x
180° + 3 x = 360° Subtract 180° to both sides
180° + 3 x - 180° = 360° - 180°
3 x = 180° Divide both sides by 3
x = 180° / 3
x = 60°
My typo.
180° - x = 360° - 4 x Add 4 x to both sides
180° - x + 4 x = 360° - 4 x + 4 x
To find the angle, we need to understand the concepts of supplement and complement angles.
Supplement angles are two angles that add up to 180 degrees. Complement angles are two angles that add up to 90 degrees.
Let's denote the angle as x.
The supplement of angle x is given by 180 - x.
The complement of angle x is given by 90 - x.
The problem states that the supplement of angle x is four times its complement. Mathematically, we can express this as:
180 - x = 4(90 - x)
To solve for x, we need to simplify the equation:
180 - x = 360 - 4x
3x = 180
x = 60
Therefore, the angle is 60 degrees.