Question

what is m∠edh? m∠edh=□°

Explanation:

Step1: Recall the total degrees in a circle

The total degrees around a point (in a circle) is \(360^{\circ}\).

Step2: Set up the equation

Let \(m\angle EDH = x\). Then \(110^{\circ}+ 90^{\circ}+50^{\circ}+x=360^{\circ}\) (since there is a right - angle of \(90^{\circ}\) in the diagram).

Step3: Simplify the left - hand side

\(110 + 90+50+x=(110 + 90)+50+x=200 + 50+x=250+x\).

Step4: Solve for \(x\)

Subtract \(250^{\circ}\) from both sides of the equation \(250+x = 360\). So \(x=360 - 250\).

Answer:

\(110\)