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renknee

Answer:

45

Step-by-step explanation:

1. All angles in a triangle add up to 180°, so that means 30° + (2x + 10)° + 50° = 180.

2. With the equation we just formed, let's solve for x.

Step 1: Simplify both sides of the equation.

  • [tex]30 + (2x + 10) + 50 = 180[/tex]
  • [tex](2x) + (30+10+50) = 180[/tex]
  • [tex]2x + 90 = 180[/tex]

Step 2: Subtract 90 from both sides.

  • [tex]2x + 90 - 90 = 180 - 90[/tex]
  • [tex]2x = 90[/tex]

Step 3: Divide both sides by 2.

  • [tex]\frac{2x}{2} = \frac{90}{2}[/tex]
  • [tex]x = 45[/tex]

3. Now that we got the value of x, let's test it to see if it really is the correct answer.

  • [tex]30 + (2*45+10) + 50 = 180[/tex]
  • [tex]30 + (90 +10) + 50 = 180[/tex]
  • [tex]30 + 100 + 50 = 180[/tex]
  • [tex]130 + 50 =180[/tex]
  • [tex]180 = 180[/tex]

Nice! This means that our answer is correct.

Therefore, x = 45.

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