What is the measure of EAC? In circle O, AD and BE are diameters. The measure of arc

AB is 55° and the measure of arc CD is 25°.

100°

125°

235°

280°

D. 280°

Step-by-step explanation:

The question lacks the required diagram. Find the diagram attached below.

From the diagram,

arc EAC = arc EAB + arc BC ... (1)

Note that arc EAB is the angle on the straight line EB and since sum of angle on a straight line is 180°, arc EAB = 180°

Next is to get the arc BC. It can be seen from the diagram that arc BC + arc CD + arc DE = 180°

Given arc CD = 25°, arc DE = arc AB = 55° (since the diameter AD and BE are the same). On substituting this values we will have:

arc BC + 25°+55° = 180°

arc BC = 180° - 80°

arc BC = 100°

Remember from initial equation 1 that arc EAC = arc EAB + arc BC

arc EAC = 180°+100°

arc EAC = 280°

The measure of EAC is therefore 280°

b