Use the triangle angle sum theorem to find the largest angle in a triangle with angle measures of (x-20) degrees, (3x+3) degrees, and (2x-7) degrees
According to the triangle angle sum theorem, the sum of the angles in a triangle is always 180 degrees.
So, we can write the equation:
(x-20) + (3x+3) + (2x-7) = 180
Simplifying the equation, we get:
6x - 24 = 180
Adding 24 to both sides, we have:
6x = 204
Dividing both sides by 6, we get:
x = 34
Now we can substitute x back into the angle measures to find the largest angle.
Largest angle = (3x+3) = (3*34+3) = 105 degrees.