Final answer:
The measure of the exterior angle 's' of a triangle, when two interior angles are 75 degrees and 50 degrees, is 125 degrees. This is found by subtracting the sum of the known interior angles from 180 and then finding the supplementary angle.
Step-by-step explanation:
To find the measure of the exterior angle of a triangle when given two interior angles, you can use the property that the sum of the measures of the interior angles in a triangle is 180 degrees. The exterior angle is supplementary to the interior angle adjacent to it, meaning they add up to 180 degrees as well.
Given the interior angles of 75 degrees and 50 degrees, we first determine the measure of the third interior angle of the triangle by subtracting the sum of the known interior angles from 180 degrees:
180 - (75 + 50) = 180 - 125 = 55 degrees.
The exterior angle is supplementary to the third interior angle, so the measure of the exterior angle 's' is:
s = 180 - 55 = 125 degrees.