Question

Construct the angle of the measurement:

1 . 75°

Answer 1

Steps of construction:
1. Draw a line segment AB.
2. With center A any radius, draw an arc which intersect AB at C.
3. With center C and same radius, draw an arc which intersects previous arc at D.
4. With center D and same radius, draw an arc which interest are in (2) at E
5. With centers E and D and radius more than `1/2`ED draw arcs intersecting each other at F.
6. Join FA which intersects arc in (2) at G

7. With centers G and D, and radius more than `1/2` GD draw arcs intersecting each other at H.
8. Join HA 

∴ `∠`HAB = 75°