Respuesta :

Answer:

measure of major arc BEA = 224.4°       Option D

Step-by-step explanation:

Given that, measure of inscribed angle ∠BEA = 67.8°

Firstly we will find the central angle.

Suppose O is the center of given circle

So, ∠AOB = 2∠AEB

∠AOB = 135.6°

The measure of arc AB  is same as the measure of its central angle.

So, measure of AB arc = 135.6°

Now complete circle measure = 360

Measure of major arc AEB = 360° - measure of arc AB

                                           =  360°  -135.6°

                                           = 224.4°

That's the final answer.

Answer:

measure of major arc BEA = 224.4°       Option D