Question

Using a protractor, draw an angle of measure 72°. With this angle as given, draw angles of measure 36° and 54°.

Answer 1

Steps of construction:
1. Draw an angle ABC of 72 with the help of protractor.
2. With center B and any radius, draw an arc which intersect AB at D and BC 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 FB which intersect the arc in (2) at G.
5. With centers D and G and radius more than `1/2` DE draw two arcs which intersect each other at F.
6. With centers D and G and radius more than n `1/2` DG draw two arcs which intersect each other at H
7. Join HB

∴ `∠`HBC = 54°

`∠` FBC = 36 °