The measure of angle e, the angle of elevation from point a to point b, is 5 left-parenthesis x minus 2 right parenthesis-degrees. the measure of angle d, the angle of depression from point b to point a, is left-parenthesis x plus 14 right parenthesis-degrees. find the measure of each angle.

We have that those 2 angles have to be equal because the line that connects the 2 points has the same angle to any horizontal line that cuts it. Hence,
5(x-2)=x+14. This is a standard first-degree equation that can be solved by splitting knowns and unknowns.
5x-10=x+14. 4x=24. x=6. Substituting in one of the two equivalent expressions, angle=x+14=20 degrees.

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The answer for your problem would be a. 7