Question

You are drawing an angle in standard position and you swing the terminal side until an angle of 281 is made. how many more degrees can you continue swinging so that the terminal side is at the same position as the initial side

Answer 1

79°

Explanation:

An angle in standard position has it "initial" side glued on to the positive x-axis. The other ray that makes the angle swings around the origin, (0,0) like a hand of a analog clock (but moving backwards) straight up is 90°, straight to the left is 180° straight down is 270°. And all the way back to the start is 360°.

If the angle is 281° it can go 79° more degrees before getting back to the start.

360° - 281° = 79°