Respuesta :

Answer:

  • 45° and 20°

Step-by-step explanation:

2x is supplementary with the right angle and 3y is supplementary with 6y, as same side interior angles.

Therefore:

  • 2x + 90 = 180
  • 2x = 90
  • x = 45

And

  • 3y + 6y = 180
  • 9y = 180
  • y = 20

[tex]\\ \rm\longmapsto 2x+90=180[/tex]

[tex]\\ \rm\longmapsto 2x=180-90[/tex]

[tex]\\ \rm\longmapsto 2x=90[/tex]

[tex]\\ \rm\longmapsto x=90/2[/tex]

[tex]\\ \rm\longmapsto x=45°[/tex]

Now

[tex]\\ \rm\longmapsto 3y+6y=180[/tex]

[tex]\\ \rm\longmapsto 9y=180[/tex]

[tex]\\ \rm\longmapsto y=180/9[/tex]

[tex]\\ \rm\longmapsto y=20[/tex]

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