Answer:
arc EAC = 280 degrees
Step-by-step explanation:
Given: the measure of arc AB is 55 and the measure of arc CD is 25
Vertical angles are equal so <AOB = <DOE = 55
In a circle, the degree measure of an arc is equal to the measure of the central angle.
so if <DOE = 55 then arc DE = 55
As you know, the arc angle to a full angle in a circle = 360
so
arc EAC = 360 - arc CD - arc DE
arc EAC = 360 - 55 - 25
arc EAC = 280
Answer:
arc EAC = 280 degrees
