Answer:
The measure of EA is 32.
Step-by-step explanation:
According to the picture the ∠ECB measures 51º. We know, by the theorem of inscribed angles, that a central angle is two times the inscribed angle within it. Therefore the angle ∠EOB = 102º.
On the other hand, the picture indicates that ∠AOB = 72º.
By examining the picture we can say that:
∠EOB = ∠EOA + ∠AOB = 102º
102º= ∠EOA +72º
102º-72º = ∠EOA
32º = ∠EOA
And given that ∠EOA is a central angle, EA =30
