Final answer:
The measure of the other remote interior angle of a triangle with an exterior angle of 48° and one remote interior angle of 16° is 32°.
Step-by-step explanation:
The question asks us to calculate the measure of the other remote interior angle of a triangle given that the exterior angle is 48°, and one of the remote interior angles measures 16°. In a triangle, the exterior angle is equal to the sum of the two remote interior angles. Hence, the sum of the remote interior angles is 48°.
To find the measure of the other remote interior angle, we subtract the known remote interior angle from the exterior angle:
48° - 16° = 32°
Therefore, the measure of the other remote interior angle is 32°.