miragaire3
miragaire3 miragaire3
  • 26-01-2022
  • Mathematics
contestada

the supplement of an angle is 6 degree less than three times its supplement. find the angle​

Respuesta :

mhanifa
mhanifa mhanifa
  • 26-01-2022

Answer:

  • 46.5° and 133.5°

Step-by-step explanation:

Let the angles are x and y.

Equations as per given information:

  • x + y = 180 (supplementary angles)
  • x = 3y - 6

Solve by substitution:

  • 3y - 6 + y = 180
  • 4y = 186
  • y = 46.5

Find the value of x:

  • x + 46.5 = 180
  • x = 180 - 46.5
  • x = 133.5
Answer Link
Аноним Аноним
  • 27-01-2022

Let one angle be x and other be 3x-6

ATQ

[tex]\\ \tt\longmapsto x+3x-6=180[/tex]

[tex]\\ \tt\longmapsto 4x-6=180[/tex]

[tex]\\ \tt\longmapsto 4x=186[/tex]

[tex]\\ \tt\longmapsto x=46.5[/tex]

  • 3x-6=133.5
Answer Link

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