Respuesta :

Answer:

  • x = 33
  • Indicated angles: 126°

Step-by-step explanation:

We can tell that 4x - 6 is equal to 2x + 60 because they are vertically opposite angles. Now, let's solve.

  • => 4x - 6 = 2x + 60
  • => 4x - 2x = 6 + 60
  • => 2x = 66
  • => x = 33

Since we have found the required variable, we can now solve the indicated variables.

Given angles:

  • 4(33) - 6
  • 2(33) + 60

Let's solve 4(33) - 6 first.

  • 4(33) - 6
  • 132 - 6
  • 126

Therefore, 4(33) - 6 measures about 126°. Now, let's solve 2(33) + 60.

  • 2(33) + 60
  • 66 + 60
  • 126

We can clearly see that both angles are equal (126 = 126) Because of vertically opposite angles.

Conclusion:

Therefore, the required variable is 'x = 33' and when we substitute the variable in both angles, we find that both angles show 126°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

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