Question
Construct the angles of the following measurements: $75^\circ $
✓
Answer
Steps of construction:
1. Draw a line segment $A B$.
2. Keeping $A$ as 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 $D$ as centre and same radius draw an arc which intersects arc in $(2)$ at $E$.
5. Keeping $E$ and $D$ as centre and radius more than half of $E D$, draw arcs intersecting each other at $F$.
6. Join FA which intersects arc in $(2)$ at $G.$
7. Keeping $G$ and $D$ as centre and radius more than half of $GD$ draw arcs intersecting each other at $H .$
8. Join $HA.$
Therefore $\angle\text{HAB}=75^\circ $
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