Answer:
270 degree angle that turns through three-fourth of a circle.
Step-by-step explanation:
We have to find the angle that turns through [tex]\frac{3}{4}[/tex] in degrees.
As we know that the 90° angle formed in one of the quadrant and there are 4 quadrant of the circle which makes the whole angle 360°.
Turns through one-fourth of circle completes the first quadrant turns an angle of 90° then
For second quadrant two-fourth of circle turns an angle (90+90)°=180°
For third quadrant three-fourth of circle turns an angle (90+90+90)°=270°
Hence, 270 degree angle that turns through three-fourth of a circle.
