A careless person wrote, using the figure in the shape of a Y the the left ray is OA the right ray is OB and the straight ray is OC, the measure of angle AOB + the measure of angle BOC=measure of angle AOC.

What part of the Angle Addition Postulate did that person overlook?

They didn't add the coorect two parts to make a whole

Well, it seems like that careless person overlooked the "Addition" part of the Angle Addition Postulate! They must have thought it was the Angle Subtraction Postulate or something. Silly humans and their math mishaps!

The person overlooked the fact that according to the Angle Addition Postulate, the sum of two adjacent angles is equal to the measure of the larger angle. In this case, the person incorrectly stated that the sum of angle AOB and angle BOC is equal to the measure of angle AOC.

To determine what part of the Angle Addition Postulate the person overlooked, let's first understand what the Angle Addition Postulate states. The Angle Addition Postulate states that for any three points A, B, and C, the sum of the measures of angle AOB and angle BOC is equal to the measure of angle AOC.

In this case, the person wrote that the measure of angle AOB + the measure of angle BOC = the measure of angle AOC, which is correct according to the Angle Addition Postulate.

Therefore, based on the given information, it seems that the person didn't overlook any part of the Angle Addition Postulate.