Respuesta :

Answer:

Equation: 4x = 128

[tex]m\angle 1 = 84\degree[/tex]

[tex]m\angle 2 = 96\degree[/tex]

Step-by-step explanation:

  • [tex]m\angle 1+ m\angle 2 =180\degree[/tex] (Linear pair angles)

  • -> (x + 52)° + (3x)° = 180°

  • -> (4x + 52)° = 180°

  • -> 4x + 52 = 180

  • -> 4x = 180 - 52

  • -> 4x = 128 ( This is the required equation)

  • -> x = 128/4

  • -> x = 32

  • [tex]m\angle 1 = (32+52)\degree = 84\degree[/tex]

  • [tex]m\angle 2 = (3*32)\degree = 96\degree[/tex]