## Elementary Geometry for College Students (6th Edition)

Angle 3 is 90 degrees, for an inscribed angle is half of the value of the angle of the corresponding arc (the corresponding arc has an angle of 180 degrees). Angle 5, therefore, equals $180-90-46=44$. Since angle 1 corresponds to arc CB, arc CB is twice the measure of angle 1, making it 92 degrees. Angle 4 is half the measure of arc CB, so it is 46 degrees. Thus, angle 2 is: $180-90-46=44$ degrees.