Use the triangle sum theorem to find the largest angle in a triangle with angle measures of ( x - 20), ( 3x+3) and (2x - 7)
The sum of the angles in any triangle is always 180 degrees. Therefore, we can set up an equation using the angle measures given:
(x - 20) + (3x + 3) + (2x - 7) = 180
Now, combine like terms:
6x - 24 = 180
Add 24 to both sides:
6x = 204
Divide by 6:
x = 34
Now, substitute x back into the angle measures:
Largest angle = 3x + 3
Largest angle = 3(34) + 3
Largest angle = 102 + 3
Largest angle = 105
Therefore, the largest angle in the triangle is 105 degrees.