Use the Triangle Angle Sum Theorem then find the largest angle in a triangle with angle measures of (x−20)°, (3x+3)°, and (2x−7)°.

Answer 1

According to the Triangle Angle Sum Theorem, the sum of the angles in a triangle is always 180 degrees.

So, we can set up an equation:

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

Simplifying the equation:

6x - 14 = 180

Adding 14 to both sides:

6x = 194

Dividing by 6:

x = 32.33

Now we can substitute x back into the angle measures to find each angle:

(x-20) = 12.33°

(3x+3) = 99.99°

(2x-7) = 57.66°

Therefore, the largest angle in the triangle is 99.99°.