Question

What is the measure of EDH?
10°
40°
50°
90°

Answer 1

It's 50 just did it :)

Answer 2

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°