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