Respuesta :

Answer:

25, 70, 85

Step-by-step explanation:

x+2x+20+3x+10=6x+30

6x+30=180

6x=150

x=25

The angles are 25, 70, and 85

Answer:

Each angle measures 25, 70 and 85

Step-by-step explanation:

The sum of measures of the interior angles in a triangle is 180 degree

So to find out the value of x we add all the interior angles and set it equal to 180 degree

[tex]x+2x+20 +3x+10= 180[/tex]

combine like terms

[tex]6x+30= 180[/tex]

Subtract 30 from both sides

[tex]6x= 150[/tex]

Divide both sides by 6

x= 25

Now we plug the value of x and measure each angle

[tex]x= 25[/tex]

[tex]2x+20=2(25)+20= 70[/tex]

[tex]3x+10=3(25)+10= 85[/tex]

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