Question
Construct the angles of the following measurements: $22\frac{1^\circ}{2}$
✓
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 $D$ as the 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 $ED$ draw arcs which intersect each at $F$.
6. Join FA which intersects arc in $(2)$ at $G.$
7. Keeping $G$ and $C$ as centre and radius more than half of $GC$ draw arcs intersecting each other at point $H .$
8. Join HA which intersects the arc in $(2)$ at a point $I.$
9. Keeping $I$ and $C$ as centre and radius more than half of $IC$ draw arcs intersecting each other at point $J.$
10. Join $JA.$
Therefore $\angle\text{JAB}=22\frac{1^\circ}{2}$
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