Respuesta :

mhanifa

Answer:

  • (8, 9)

Step-by-step explanation:

3 and 5 are vertical angles and are equal as per definition of vertical angles

  • 4x + 6y = 86

5 and 6 are supplementary angles and sum up to 180 as per definition of supplementary angles

  • 5x + 6y + 86 = 180 ⇒ 5x + 6y = 94

Comparing the two equations

  • 6y = 86 - 4x and 6y = 94 - 5x
  • 86 - 4x = 94 - 5x
  • 5x - 4x = 94 - 86
  • x = 8

Finding y

  • 6y = 86 - 8*4
  • 6y = 86 - 32
  • 6y = 54
  • y = 9

Answer

  • (8, 9)