Respuesta :

Answer:

  • 144°

Step-by-step explanation:

The two given angles form a linear pair and therefore supplementary.

Supplementary angles sum to 180°:

  • 2.4x + 9.6x = 180
  • 12x = 180
  • x = 180/12
  • x = 15

The larger angle measure:

  • 9.6*15 = 144°

Linear pair angles have sum 180°

[tex]\\ \sf\longmapsto 2.4x+9.6x=180[/tex]

[tex]\\ \sf\longmapsto 12x=180[/tex]

[tex]\\ \sf\longmapsto x=15[/tex]

  • 9.6x=9.6(15)=144°