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fieryanswererft

Answer:

x = 6

Both the angles are equal

7x + 4 = 9x - 8

9x - 7x = 4 + 8

2x = 12

x = 6

Solution:

We know that:

  • Both angles are equivalent.

This means that:

  • [tex](7x + 4) = (9x - 8)[/tex]

Step-by step calculations:

Open the parenthesis:

  • [tex](7x + 4) = (9x - 8)[/tex]
  • => [tex]7x + 4 = 9x - 8[/tex]

Subtract 7x both sides:

  • => [tex]7x - 7x + 4 = 9x - 8 - 7x[/tex]
  • => [tex]4 = 2x - 8[/tex]

Add 8 both sides:

  • => [tex]4 + 8 = 2x - 8 + 8[/tex]
  • => [tex]12 = 2x[/tex]

Divide 2 both sides:

  • => [tex]\frac{12}{2} = \frac{2x}{2}[/tex]
  • => [tex]x = 6[/tex]

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