Final answer:
To calculate the reflex angle between two lines that make an angle of 2/5 of a right angle, we multiply 2/5 by 90 degrees to find their angle, which is 36 degrees. Subtracting this value from 360 degrees gives us the reflex angle of 324 degrees.
Step-by-step explanation:
The question asks us to calculate the reflex angle between two lines that make an angle of 2/5 of a right angle. First, we must understand that a right angle is equal to 90 degrees.
If two lines make an angle of 2/5 of a right angle, then they create an angle of 2/5 × 90 degrees, which equals 36 degrees.
Since a right angle is part of a straight line which measures 180 degrees, the reflex angle, being the larger angle between the two lines, would be calculated by subtracting 36 degrees from 360 degrees (which is a full revolution).
The calculation is as follows: 360 degrees - 36 degrees = 324 degrees.
Therefore, the reflex angle between these two lines is 324 degrees.
This angle is the one greater than 180 degrees that the lines will make if extended past the point of intersection to form a full circular rotation of 360 degrees.