Question

The measure of angle E, the angle of elevation from point A to point B, is 5(x-2). The measure of angle D, the angle of depression from point B to point A, is (x+14). Find the measure of each angle.

Answer 1

measure of angle E equals 20 degrees, measure of angle D equals 20 degrees

Answer 2

The angle of elevation and the angle of depression are the same. (They are alternate interior angles between the parallel lines of the ground and "horizontal.")
5(x -2) = x +14
5x -10 = x +14 . . . . . . . eliminate parentheses
4x = 24 . . . . . . . . . . . . add 10-x
x = 6

The angles of elevation and depression are both (6+14)° = 20°.