Final answer:
The measure of the other interior angle in the triangle is 70°, which is found by subtracting the given interior angle from the exterior angle (135° - 65°). The provided correct answer does not match any option.
Step-by-step explanation:
The subject of the question is Mathematics, specifically it deals with the properties and angles of a triangle. An exterior angle of a triangle is equal to the sum of the opposite two interior angles. Therefore, in this problem, if one of the exterior angles is 135° and one of the interior angles is 65°, we can find the measure of the other interior angle by using the fact that the exterior angle is equal to the sum of the two non-adjacent interior angles. In formula terms: Exterior Angle = Interior Angle 1 + Interior Angle 2. We rearrange this to find the unknown interior angle: Interior Angle 2 = Exterior Angle - Interior Angle 1.
So, the measure of the other interior angle would be 135° - 65° = 70°. However, this contradicts the provided correct option which is 55°. It seems there has been a misunderstanding or a typo in the problem, because based on the rules of geometry, the correct calculation leads to 70°, not 55° for the remaining interior angle.