Question
Construct the angle with the help of ruler and compasses only:
150°
150°
✓
Answer
Draw a line AB and take point O at the middle of AB.
With a convenient radius and centre at O, draw an arc, which cuts the line AB at P and Q.
With the same radius and centre at Q, draw an arc, which cuts the first arc at R.
With the same radius and centre at R, draw an arc, which cuts the first arc at S.
With the centres P and S and radius more than half of PS, draw two arcs, which cut each other at T.
Draw OT and extend it to C to form the ray OC.
$\angle\text{BOC}$ is required angle of 150°.
With a convenient radius and centre at O, draw an arc, which cuts the line AB at P and Q.
With the same radius and centre at Q, draw an arc, which cuts the first arc at R.
With the same radius and centre at R, draw an arc, which cuts the first arc at S.
With the centres P and S and radius more than half of PS, draw two arcs, which cut each other at T.
Draw OT and extend it to C to form the ray OC.
$\angle\text{BOC}$ is required angle of 150°.
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