the sum of the measures of two exterior angles of a triangle is 264 degrees. What is the measure of the third exterior angle?

The sum of the measures of all exterior angles of any triangle is always 360 degrees. Therefore, the sum of the measures of two exterior angles of a triangle is 360 - 264 = <<360-264=96>>96 degrees.

Since the third exterior angle is the only angle left, it must have a measure of 96 degrees.