Respuesta :

Answer:

The value of x is equal to 30.

Step-by-step explanation:

Let's define what are 2 equations are:

Since we are dealing with a straight line, the line's angle will always equal 180°.

Since the 2 angles must add up to 180°, then they must be supplementary angles.

We can set up our equation to solve for x:

  • 4x - 16 + 2x + 16 = 180

This equation states that the 2 angles, given in formulas, must be equal to the angle of the line.

We can now solve this equation and get a value of x:

  1. Define:
    4x - 16 + 2x + 16 = 180
  2. Combine like terms:
    6x = 180
  3. Divide 6 on both sides [Division Equality Property]:
    x = 30

∴ we have found the value of x to be equal to 30.

Hope this helps!


[tex]\bold{ANSWER:}[/tex]
x = 30

[tex]\bold{EXPLANATIONS:}[/tex]
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