Question

Two angles of a triangle have the same measure and the third one is 57 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

Answer 1

x+x+x+39=180 degrees. (The sum of the angles of a triangle is 180.)

Combine like terms:

3x+39=180

Solve for X

3x+39-39=180-39

3x=141

3x÷3=141÷3

x=47

The largest angle equals 47+39=86.

Now lets check it 47+47+86=180.