Respuesta :

Answer:

x = 6 , z = 79

Step-by-step explanation:

(8x + 53) and (6x + 43) are adjacent angles and sum to 180° , that is

8x + 53 + 6x + 43 = 180 , that is

14x + 96 = 180 ( subtract 96 from both sides )

14x = 84 (divide both sides by 14 )

x = 6

Then

6x + 43 = 6(6) + 43 = 36 + 43 = 79

z and 79 are vertical angles and congruent , then

z = 79

Answer:

x = 6

z = 79

Step-by-step explanation:

We know that angles on a straight line add up to 180.

With this in mind:

  • (6x+43)° + (8x+53)° = 180
  • hence 14x+96=180
  • 14x=84
  • x=6

For z:

  • since x = 6
  • (8x+53)° + z° = 180
  • 101 + z = 180
  • z = 79

Another approach using the property where opposite angles are equal:

  • (6x+43) = z
  • 79 = z