Question

complementary and supplementary angles
assignment active
finding an angle measure
what is the measure of $angle edh$
$10^circ$
$40^circ$
$50^circ$
$90^circ$
$(5x)^circ$
$(4x)^circ$

Explanation:

Step1: Set up angle sum equation

The angles $\angle EDH$, $\angle HDG$, and the right angle at $D$ form a right angle, so their sum is $90^\circ$.
$5x + 4x = 90$

Step2: Solve for $x$

Combine like terms and isolate $x$.
$9x = 90$
$x = \frac{90}{9} = 10$

Step3: Calculate $\angle EDH$

Substitute $x=10$ into $5x$.
$\angle EDH = 5x = 5\times10$

Answer:

50°