Final answer:
Only 120° could be the measure of an exterior angle of the triangle with the given interior angles. The measures of 115°, 125°, and 130° could not be exterior angles of the triangle.
Step-by-step explanation:
The question involves finding out which of the given angle measurements could not be an exterior angle of a triangle with two interior angles measuring 55° and 65°. The sum of the interior angles of a triangle is always 180°, so if we have two angles measuring 55° and 65°, the third angle must be 180° - (55° + 65°) = 180° - 120° = 60°. The exterior angle is supplementary to the interior angle of the triangle it is adjacent to, meaning they must add up to 180°. Given the interior angle is 60°, the corresponding exterior angle must be 180° - 60° = 120°. Therefore, the only possible exterior angle given in the choices is 120°, and the rest could not be measures of an exterior angle of the triangle.