Question

What is the measure of ea

Answer 1

check the picture below.

notice that the inscribed angle at C is intercepting the arcEAB, and since we know that the arcAB is 72°, then arcEA is arcEAB - arcAB, or 102 - 72.

Answer 2

The measure of EA is 32.

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