Asked by LUcky
Supplement of angle is four times its complent angle find angle
Answers
Answered by
Bosnian
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°
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°
Answered by
Bosnian
My typo.
180° - x = 360° - 4 x Add 4 x to both sides
180° - x + 4 x = 360° - 4 x + 4 x
180° - x = 360° - 4 x Add 4 x to both sides
180° - x + 4 x = 360° - 4 x + 4 x
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