A triangle measures 85 degrees, 128 degrees, and x. Solve for x.

no solution

Step-by-step explanation:

The sum of the three angles in a triangle adds up to 180 degrees. We know two of the angles, 85 and 128. We are looking for the third, x.

x + 85+128 = 180

Add the like terms

x + 213 = 180

This is an impossible problem

x would have to be negative

A triangle can have at most angles totalling 180 degrees.

Two angles 85 + 128 total 213 degrees so the triangle cannot exist.