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Ierofanga [76]
2 years ago
14

What is the measure of ea

Mathematics
2 answers:
Svetradugi [14.3K]2 years ago
5 0
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.

sineoko [7]2 years ago
5 0

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

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