A convex pentagon has five exterior angles, and the sum of the measures of these angles is equal to 360 degrees.
We know that the measures of the exterior angles of a convex pentagon are 75°, 62°, 68°, and 101°, we need to find the measure of the last exterior angle.
To find the measure of the last exterior angle, we can use the formula:
Sum of all exterior angles = (n-2) x 180
where n is the number of sides in the polygon.
For a pentagon, n = 5, so the sum of all exterior angles is (5-2) x 180 = 540 degrees
So we can use this information to find the measure of the last exterior angle:
75 + 62 + 68 + 101 + x = 540
x = 244
Therefore, the measure of the last exterior angle is 244 degrees.