Question
Construct the angles of the following measurements: $15^\circ $

Answer



Steps of construction:
1. Draw a line segment $A B$.
2. Keeping $A$ as the centre and any radius draw an arc which intersects $A B$ at $C$.
3. Keeping $C$ as centre and the same radius draw an arc which intersects the previous arc at $D$
4. Keeping $D$ and $C$ as centre and radius more than half of $D C$ draw arcs which intersect each other at $E$.
5. Join EA which intersects arc in $(2)$ at $F$.
6. Keeping $F$ and $C$ as centre and radius more than half of $F C$ draw arcs which intersect each other at $G$.
7. Join GA.
Therefore $\angle\text{GAB}=15^\circ $

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