Question

Find the measure of each angle in the triangle.

Answer 1

25, 70, 85

Explanation:

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

6x+30=180

6x=150

x=25

The angles are 25, 70, and 85

Answer 2

Each angle measures 25, 70 and 85

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

`x+2x+20 +3x+10= 180`

combine like terms

`6x+30= 180`

Subtract 30 from both sides

`6x= 150`

Divide both sides by 6

x= 25

Now we plug the value of x and measure each angle

`x= 25`

`2x+20=2(25)+20= 70`

`3x+10=3(25)+10= 85`