(iii)
135∘
Step to construct an angle of
135∘ :
1. Draw a ray PQ, and extend PQ to the left side of P. Draw a semi-circle of some radius taking point P as its centre, which intersects PQ at R and W.
2. Taking R as the centre and with the same radius as before, draw an arc intersecting the previously drawn arc at S.
3. Taking S as the centre and with the same radius as before, draw an arc intersecting the arc at T ( see figure).
4. Taking S and T as the centre, draw an arc of same radius to intersect each other at U.
5. Join PU, let it intersect the arc at V. Taking V and W centre and with radius more than
12VW, draw arcs to intersect each other at X.
6. Join PX, which is the required ray that makes an angle of
135∘ with the ray PQ.
The angle so formed can be measured with the help of protractor . It comes to be
135∘