Question:
Using a protractor, draw an angle of measure 72°. With this angle as given draw angles of measure 36° and 54°.
Solution:
Steps of construction:
1. Draw an ∠ABC of 720 with the help of a protractor.
2. Keeping B as center and any radius draw an arc which intersects AB at D and BC at E.
3. Keeping D and E as center and radius more than half of DE draw two arcs which intersect each other at F.
4. Join FB which intersects the arc in (2) at G.
5. Keeping D and G as center and radius more than half of DG draw two arcs which intersect each other at H
6. Join HB
Therefore ∠HBC = 54° ∠FBC = 36°
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