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The question is an illustration of angles on a straight line

The value of x is 25.4

How to determine the value of x

In the figure, angles 1 and 2 are angles on a straight line

Where:

  • Angle 1 = 4x - 8
  • Angle 2 = 3x + 10

So, we have:

[tex]4x - 8 + 3x + 10=180[/tex]

Collect like terms

[tex]4x + 3x =180 - 10 + 8[/tex]

[tex]7x =178[/tex]

Divide through by 7

[tex]x =25.4[/tex]

Hence, the value of x is 25.4

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