Question

finding an angle measure
what is the measure of $angle edh$
$\bigcirc$ $10^circ$
$\bigcirc$ $40^circ$
$\bigcirc$ $50^circ$
$\bigcirc$ $90^circ$
$(5x)^circ$
$(4x)^circ$

Explanation:

Step1: Sum angles in right angle

$\angle EDH + \angle HDG = 90^\circ$
Substitute given angles: $5x + 4x = 90$

Step2: Solve for x

Combine like terms: $9x = 90$
Calculate x: $x = \frac{90}{9} = 10$

Step3: Find $\angle EDH$

Substitute x into $5x$: $5(10) = 50$

Answer:

50°