Using ruler and compasses only, draw an angle of measure `135^0`

Explanation

Steps of construction:

1. Draw a line segment AB and produce BA to point C.

2. With center A and any radius draw arc which intersect AC at D and AB at E.

3. With center D and E and radius more than `1/2` DE draw two arcs which intersect each other at F.

4. Join FA which intersect the arc in (2) at G.

5. With centers G and D and radius more than `1/2 GD`
draw two arcs which intersect each other at H.

6. Join HA and `angleHAB = 135^*`.