Answer:
Option D.
Step-by-step explanation:
Consider the below figure attached with this question.
From the given figure it is clear that AC and EB are diameters. Measure of arc DC is 50°.
According to the given information we get
[tex]m(\widehat {AC})=180^{\circ}[/tex]
[tex]m(\widehat {EB})=180^{\circ}[/tex]
[tex]m(\widehat {DC})=50^{\circ}[/tex]
[tex]m(\widehat {DB})=90^{\circ}[/tex]
Using the given information we get
[tex]m(\widehat {BC})=m(\widehat {DB})-m(\widehat {DC})=90^{\circ}-50^{\circ}=40^{\circ}[/tex]
We need to find the measure of arc (EBC).
[tex]m(\widehat {EBC})=m(\widehat {EB})+m(\widehat {BC})=180^{\circ}+40^{\circ}=220^{\circ}[/tex]
The measure of arc (EBC) is 220°. Therefore, the correct option is D.
