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The third angle is 85 degrees. The sum of all internal angles in a triangle is always 180 degrees
The third angle has to be 90 degrees so it would be a right angle triangle.
There are 180 degrees in a triangle. So, if you subtract two angles (angles A and B) from 180 degrees, you get the third angle (angle C). So: 180 - A - B = C
180-39-77 = 64 degrees
The third angle is 93 degrees