Question
Draw a linear pair of angles. Bisect each of the two angles. Verify that the two bisecting rays are perpendicular to each other.
✓
Answer
Steps of construction:1. Draw two angles $D C A$ and $D C B$ forming linear pair.
2. With center $C$ and any radius draw an arc which intersects $A C$ at $P$ and $C D$ at $Q$ and $C B$ at $R$.
3. With center $P$ and $Q$ and any radius draw two arcs which intersect each other at $S$.
4. Join $SC.$
5. With $Q$ and $R$ as center and any radius draw two arcs which intersect each other at $T$.
6. Join $TC.$
Therefore $\angle\text{SCT}=90^\circ$
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