Question
Using a protractor, draw an angle of measure 72°. With this angle as given, draw angles of measure 36° and 54°.
✓
Answer
Steps of construction:
- Draw an $\angle\text{ABC}$ of 720 with the help of a protractor.
- Keeping B as center and any radius draw an arc which intersects AB at D and BC at E.
- Keeping D and E as center and radius more than half of DE draw two arcs which intersect each other at F.
- Join FB which intersects the arc in (2) at G.
- Keeping D and G as center and radius more than half of DG draw two arcs which intersect each other at H.
- Join HB.
Therefore $\angle\text{HBC}=54^\circ,\angle\text{FBC}=36^\circ$
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