triangle ABC is inscribed within a circle and has diameter line AB, with the inscribed angle at C, if the angle meausure of A is 15 degrees, what is the arc measure of AC? 30 is not an answer so dont say 30

Since angle A is 15 degrees, the inscribed angle at C will be 180 - 15 = 165 degrees.

Since angle C is an inscribed angle, the arc measure of AC will be twice the inscribed angle measure. Therefore, the arc measure of AC will be 2 * 165 = 330 degrees.