Question

what is the measure of ∠edh?
10°
40°
50°
90°

Explanation:

Step1: Use the property of right - angle

Since \(\angle EDG = 90^{\circ}\), we have \(5x+4x = 90\).

Step2: Solve the equation for \(x\)

Combine like terms: \(9x=90\). Then \(x = 10\) (divide both sides by \(9\): \(x=\frac{90}{9}=10\)).

Step3: Calculate the measure of \(\angle EDH\)

Substitute \(x = 10\) into \(5x\). So \(\angle EDH=5x\), and \(5\times10 = 50^{\circ}\).

Answer:

\(50^{\circ}\)