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Answer:

[tex]6 = x[/tex]

Step-by-step explanation:

These two angles are supplementary angles, which sum up to 180°:

180° = [24x + 9]° + [7x - 15]°

180° = [−6 + 31x]°

+ 6° + 6°

____________

[tex]\displaystyle \frac{186°}{31} = \frac{[31x]°}{31} \\ \\ 6 = x[/tex]

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The x value is 6.

Given that,

  • The first equation is 7x - 15.
  • And, the second equation is 24x + 9.
  • Also, the two angles are supplementary angles that sum is 180 degrees.

Based on the above information, the calculation is as follows:

180° = (24x + 9)° + (7x - 15)°

180° = (−6 + 31x)°

Now add 6 degrees to both the sides

186 degrees = 31x

x = 6

Therefore we can conclude that the value of x is 6.

Learn more: brainly.com/question/17581080