Use the Triangle Angle Sum Theorem to find the largest angle in a triangle with angle measures of (x - 20) (3x + 3) ^ - and (2x - 7) deg (1 point)

Answer 1

The Triangle Angle Sum Theorem states that the sum of the three angles in a triangle is always 180 degrees.

So, we can set up an equation using the given angle measures:

(x - 20) + (3x + 3) + (2x - 7) = 180

Now, combine like terms and solve for x:

6x - 24 = 180

6x = 204

x = 34

Now that we have found the value of x, we can substitute it back into the angle measures to find the largest angle:

2x - 7 = 2(34) - 7 = 68 - 7 = 61 degrees

Therefore, the largest angle in the triangle is 61 degrees.