Respuesta :

chetankachana

Answer:

x = 30°

The angles:

  • 2x° = 60°
  • 3x° = 90°
  • x° = 30°

Step-by-step explanation:

Hello!

The sum of all the angles in a triangle is 180°. So we can set up an equation for this question.

Solve the equation:

  • 2x° + 3x° + x° = 180°
  • 6x° = 180°
  • x° = 30°

We can replace 30° for all the angles.

The measures are:

  • 2(30°) = 60°
  • 3(30°) = 90°
  • 1(30°) = 30°

Wallameg000

Answer:

2x = 60

3x = 90

x = 30

Step-by-step explanation:

All triangles have 3 angles that add up to 180 degrees. We can use the information to create an equation.

Finding x

First, add all of the angles together and set them equal to 180

  • [tex]2x+3x+x=180[/tex]

Next, combine like terms

  • [tex]6x=180[/tex]

Finally, divide both sides by 6

  • [tex]x=30[/tex]

Solve For Missing Angles

Now that we have x, we can solve from each of the missing angles. Do this by plugging in 30 for the x-values.

2x

  • [tex]2(30)=60[/tex]

3x

  • [tex]3(30)=90[/tex]

x

  • [tex]30 = 30[/tex]

We can check our answers by adding all of these together. Because 60+90+30 equals 180, these answers must be correct.

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