Respuesta :

renknee

Answer:

x = 17

Step-by-step explanation:

The sum of all angle measures in any triangle is 180 degrees.

  • Thus, 23 + 5x - 18 + 90 = 180.

Step 1: Simplify both sides of the equation.

  • [tex](5x)+(23+90-18)=180[/tex]
  • [tex]5x+95=180[/tex]

Step 2: Subtract 95 from both sides.

  • [tex]5x+95-95=180-95[/tex]
  • [tex]5x=85[/tex]

Step 3: Divide both sides by 5.

  • [tex]5x/5=85/5[/tex]
  • [tex]x=17[/tex]

Step 4: Check if solution is correct.

  • [tex](5*17-18)+23+90=180[/tex]
  • [tex]67+23+90=180[/tex]
  • [tex]180=180[/tex]

Thus, x = 17.

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