How can we make an angle of 22.5,37.5 ,67.5 and 40 degree

Hii

Draw  a straight line and with compass, cut three angles. Each will be 60 degree. And bisect the line it will be 90 degree.

Now bisect the 90 degre, it will give you 45 degree. Again bisect this 45 degree, you will get 22.5 degree.  Consider 30 degree and 45 degree, now bisect this angle betwwen them, you will get 37.5 degree. Consider 60 degree and 90 degree, bisect considered both will give 75 degree. Again consider 75 degree and 60 degree bisect angle betwwen them, you will get 67.5 degree.

For 40 degree you cannot make with compass, you need to measure angle to make it.  Hope it helps