Find the measure of each angle in the triangle.

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]