Question

Use the triangle sum theorem to find the largest angle in a triangle with angle measures of (x-20), (3x+3,(2x-7)

Answer 1

To find the largest angle in a triangle, we can use the triangle sum theorem, which states that the sum of the angles in a triangle is always 180 degrees.

Let's solve for the largest angle using the given angle measures:

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

Combining like terms, we have:

6x - 24 = 180

Adding 24 to both sides:

6x = 204

Dividing by 6:

x = 34

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

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

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