Question

What is the measure of arc BDA? To get full points you will need to explain, in paragraph form, how you found the measure of angle AOB, the relationship between the measure of AOB and the measure of arc AB, then how you found the measure of arc BDA.

Answer 1

the measure of angle AOB
First you must know that the angle EOA is;
EOA = 180-95-28 = 57
Then, we look for AOB
AOB = 180-57 = 123
the relationship between the measure of AOB and the measure of arc AB:
We have then that the measure of the arc AB is:
arcAB = r * AOB = 123 * r
Where,
r = radius of the circle.
the measure of arc BDA.
arcBDA = r * (123 + 57 + 28)
arcBDA = 208 * r
Where,
r = radius of the circle.
Answer:
the measure of arc BDA is:
arcBDA = 208 * r