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:
- Draw two angles DCA and DCB forming linear pair.
- With center C and any radius draw an arc which intersects AC at P and CD at Q and CB at R.
- With center P and Q and any radius draw two arcs which intersect each other at S.
- Join SC.
- With Q and R as center and any radius draw two arcs which intersect each other at T.
- Join TC.
Therefore $\angle\text{SCT}=90^\circ$
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