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Find the value of x and the indicated angles.

Find the value of x and the indicated angles.-example-1
User Egor Rogov
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1 Answer

3 votes

Answer:

x = 19

Indicated angles: 113°

Explanation:

We can tell that 6x - 1 is equal to 2x + 75 because they are vertically opposite angles. Now, let's solve.

  • => 6x - 1 = 2x + 75
  • => 6x - 2x = 1 + 75
  • => 4x = 76
  • => x = 19

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

Given angles:

  • 6(19) - 1
  • 2(19) + 75

Let's solve 6(19) - 1 first.

  • 6(19) - 1
  • => 114 - 1
  • => 113

Therefore, 6(19) - 1 measures about 108°. Now, let's solve 2(19) + 75

  • 2(19) + 75
  • => 38 + 75
  • => 113

We can clearly see that both angles are equal (113 = 113) Because of vertically opposite angles.

Conclusion:

Therefore, the required variable is 'x = 19' and when we substitute the variable in both angles, we find that both angles show 113°.

Hoped this helped.


BrainiacUser1357

User Ulises Bussi
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