Question

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)

Answer 1

The sum of the 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:

x - 20 + 3x + 3 + 2x - 7 = 180
6x - 24 = 180
6x = 204
x = 34

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

2(34) - 7 = 61

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