A reflex angle is defined as an angle that measures more than 180 degrees but less than 360 degrees. To find the reflex angle corresponding to a given angle, in this case, 90 degrees, you can subtract the angle from 360 degrees.
So, for an angle of 90 degrees, the calculation is:
Reflex Angle = 360 degrees – 90 degrees = 270 degrees
This means that the reflex angle of 90 degrees is 270 degrees. In a geometric context, if you visualize this, a 90-degree angle opens up to the right, and the reflex angle spans the larger arc that goes all the way around to reach the other side, completing a 360-degree circle.