Question

What is the measure of EBC?

40°

90°

140°

220°

Answer 1

D. 220°

Explanation:

Answer 2

Option D.

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

`m(\widehat {AC})=180^(\circ)`

`m(\widehat {EB})=180^(\circ)`

`m(\widehat {DC})=50^(\circ)`

`m(\widehat {DB})=90^(\circ)`

Using the given information we get

`m(\widehat {BC})=m(\widehat {DB})-m(\widehat {DC})=90^(\circ)-50^(\circ)=40^(\circ)`

We need to find the measure of arc (EBC).

`m(\widehat {EBC})=m(\widehat {EB})+m(\widehat {BC})=180^(\circ)+40^(\circ)=220^(\circ)`

The measure of arc (EBC) is 220°. Therefore, the correct option is D.