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.