In this exercise, we need to find the angle ∠EDH, that is, according to the figure above, this angle is:
∠EDH = (5x)°
So, our goal is to find the value of x. By taking a look in the figure above, this equation is true:
(5x)° + (4x)° = 90°
Therefore:
(9x)° = 90° ∴ x = 10
So:
∠EDH = (5x)° ∴ ∠EDH = [(5)(10)]° ∴ ∠EDH = 50°
Finally, the right answer is 50°
