 Hello and how are you all today? The question says construct the following angles and verify by measuring them by a protector. Now the angle that you need to draw is 135 degrees. Now remember that 135 degree is 90 degrees plus a 45 degree angle that is half of 90 degree itself. So let us start with our solution. The first step is to draw angle A O E equal to 90 degrees. Now you are very well aware of how do you draw a 90 degree angle that has been explained to you quite many times now. So here I will be drawing an angle of A O E that is equal to 90 degrees. Now here let us name this point as E. Now this is 90 degree and this is also a 90 degree angle. So to obtain the further 45 degree what we can do is we can draw the bisector of the other side of 90 degree and then join O to that part to obtain the required 135 degrees angle. So now let us name this point as P and on extending this point as L. The second step is then angle L O E is also 90 degree right. Now we will be drawing the bisector of angle L O E. Bisector of angle L O E it will be placing your compass and taking more than half of this angle drawing an arc. Similarly placing the compass center over here and drawing another arc intersecting the previous arc at point let us say F and join F O. Now A O F this part is 90 degrees and this part is 45 degrees so on combining we get an angle of 135 degrees. So angle A O F is equal to 35 degrees. This completes my session hope you enjoyed and this is our required construction of 135 degree angle. So have a good day.