Answer:
There are three variables here:
Smallest angle: x
Next angle: 3x
Final angle: x+40
All of the angles of a triangle add to 180 degrees, so we can create an equation:
180=x+3x+x+40
180=5x+40
140=5x
28=x
Now we plug this number into our two other angles, in order to solve for all measurements:
3x
3(28)
84 degrees
x+40
28+40
68 degrees
In order to check our answers, we will add all the measures together, to ensure that they are 180 degrees:
28+84+68=180 degrees!
The largest of the three angles is 84 degrees
Step-by-step explanation: