What is the measure of angle A if the measure of is 130?

Question

What is the measure of angle A if the measure of  is 130?

65

95

115

120

None of these

Answer 1

The arc formed by angle A is 360 - 130

Angle A must be half of that.

Answer 2

If BD had been to the right side of the origin, the center of the circle, the angle A would have been < 90

BD is to the left, so A >90, but not by much, given the diagram.

A= 115 or 120, or about that range.

answer is 115, 120 or none of the above.

A>90, and either between 90 and 115, between 115 & 120 or a little above 120

Best guess without more calculations? 115