louiss1994 louiss1994
  • 19-01-2021
  • Mathematics
contestada

Find the value of x, giving reasons for your answer:

Find the value of x giving reasons for your answer class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 19-01-2021

Answer:

x = 55

Step-by-step explanation:

[tex](x + 40) \degree = (150 - x) \degree \\ (vertical \: \angle s) \\ \\ x + 40 = 150 - x \\ \\ x + x = 150 - 40 \\ \\ 2x = 110 \\ \\ x = \frac{110}{2} \\ \\ x = 55[/tex]

Answer Link
Dead3ill
Dead3ill Dead3ill
  • 19-01-2021

Answer:

x = 55°

Step-by-step explanation:

When any 2 lines intersect each other at one point , the vertically opposite angles are always equal. Hence ,

[tex]150 - x = x + 40[/tex]

[tex] = > x + x = 150 - 40[/tex]

[tex] = > 2x = 110[/tex]

[tex] = > x = \frac{110}{2} = 55[/tex]

Answer Link

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