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 35 degrees. what is the measure of the angle?

1 answer

If the terminal arm of the angle rotates through two quadrants, that means it has rotated 180 degrees twice, which is a total of 360 degrees.

An additional rotation of 35 degrees means the total angle is 360 degrees + 35 degrees = 395 degrees.

Therefore, the measure of the angle is 395 degrees.