Respuesta :
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
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