Question
Construct the angle with the help of ruler and compasses only:
30°
30°
✓
Answer
Draw a ray OA.
With a convenient radius and centre at O, draw an arc, which cuts OA at P.
With the same radius and centre at P, draw an arc cutting the previous arc at P.
Taking P and Q as centres and radius more than half of PQ, draw two arcs, which cuts each other at R.
Draw OR and extend it to B.
$\angle\text{AOB}$ is the required angle of 30°.
With a convenient radius and centre at O, draw an arc, which cuts OA at P.
With the same radius and centre at P, draw an arc cutting the previous arc at P.
Taking P and Q as centres and radius more than half of PQ, draw two arcs, which cuts each other at R.
Draw OR and extend it to B.
$\angle\text{AOB}$ is the required angle of 30°.
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