Question
Using your protractor, draw an angle of measure $108^\circ $. With this given angle as given, draw an angle of $54^\circ .$

Answer



Steps of construction:
1. Draw an angle $A B C$ of $108^{\circ}$.
2. With $B$ as the center and any radius draw an arc which intersects $A B$ at $P$ and $B C$ at $Q$.
3. With $P$ as center and radius more than half of $P Q$ draw an arc.
4. With $Q$ as the centre and same radius draw an arc which intersects the previous arc at $R$.
5. Join $BR.$
Therefore $\angle\text{RBC}=60^\circ$

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