The measure of angle e, the angle of elevation from point a to point b, is (3x+1). the measure of angle s, the angle of depression from point b to point a, is 2(x+8). find the measure of each angle.

The angle of elevation of a point from another point is equal to the angle of depression from the other point to the point.
i.e. the angle of elevation from point a to point b is equal to the angle of depression from point b to point a.

3x + 1 = 2(x + 8)
3x + 1 = 2x + 16
3x - 2x = 16 - 1
x = 15.
Therefore, angle e = angle d = 3(15) + 1 = 45 + 1 = 46 degrees.