(i)
Steps of construction:
1. Draw a line segment AB and produce BA to point C.
2. With center A and any radius drawn an arc which intersect AC at D and AB at E.
3. With center D and E and radius more than DE/2 draw arcs cutting each other at F.
4. Join FA which intersect arc in (2) at G.
5. With centers G and E and radius more than GE/2 draw arcs cutting each other at H.
6. Join HA
Therefore ∠HAB = 45o
(ii)
Steps of construction:
1. Draw a line segment AB.
2. With center A and any radius draw in arc which intersect AB at C.
3. With center C and same radius draw an arc which intersects previous arc at D.
4. With centers D same radius draw an arc which intersects are in (2) at E.
5. With centers E and D same radius more than ED/2 draw an arc cutting each other at F.
6. Join FA
Therefore ∠FAB = 90o