You can
put this solution on YOUR website!
The angle -800° is measured clockwise since it's negative.
We divide its absolute value 800 by 360 to get its quotient
and remainder.
2
360)800
720
80
The quotient of 2 tells us that the angle goes around 2 times.
The negative sign tells us that the rotation is clockwise.
The remainder of 80 tells us that after going around 2 times,
it goes 80° further in the clockwise direction. So we draw
the angle and the terminal side.
We see that it ends up in the 4th quadrant and since the remainder
80° is less than 90°, it means the reference angle is 80°.
The angle between 0° and 360° that is in the 4th quadrant is gotten
by subtracting 80° from 360° getting 280°.
So -800° is coterminal with 280°
Edwin