Question

finding an angle measure
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 \(x = 10\).

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

Substitute \(x = 10\) into \(5x\). So \(5x=5\times10 = 50\).

Answer:

\(50^{\circ}\) (corresponding to the third option)