The terminal arm of an angle drawn in standard position rotates in a positive direction through two quadrants of the coordinate plane and then rotates an additional 45 degrees. what is the measure of the angle?

An angle drawn in standard position notes that it starts from 0 degrees. A quadrant is 90 degrees, so the terminal arm rotating through two quadrants means that it has moves 180 degrees from its original position. Plus an additional 45 degrees, the terminal arm of an angle would have moved 225 degrees from the original position. Therefore, it would have a measure of 225 degrees.