Respuesta :

Answer:

Measure of major arc BDC = 260.5°       Option A

Step-by-step explanation:

Given that, measure of central angle ∠BAE = 80.5°

Firstly we will find the measure of arc BE .  

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

So, measure of minor BE arc = 80.5°

measure of arc EDC = 180°  because of half circle

So,

measure of major arc BDC = 180° + 80.5° = 260.5°       option A

That's the final answer.

The correct answer to this question I option (A)