Question

Can someone please help me find the mesauser of the following?

Answer 1

The measure of the given arcs are;

Given the figure in the attached image.

we want to find the measure of the given arcs.

For arc ED.

The measure of arc ED is equal to the measure of arc AB;

`\begin{gathered} ED=AB=\measuredangle AOB=50^(\circ) \\ ED=50^(\circ) \end{gathered}`

To get the measure of BC, we can see that AB, BC, and CD will sum up to 180 degrees.

`\begin{gathered} AB+BC+CD=180^(\circ) \\ 50^(\circ)+BC+40^(\circ)=180^(\circ) \\ BC=180^0-(50^(\circ)+40^(\circ)) \\ BC=90^(\circ) \end{gathered}`

To get arc BED;

`\begin{gathered} \text{BED}=BE+ED \\ \text{BED}=180+50 \\ \text{BED}=230^(\circ) \end{gathered}`