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Question

Construct an angle of 120° and bisect it.

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Solution

Steps of construction:

1. Draw a ray QP.
2.With Q as the centre and any convenient radius, draw an arc cutting QP at N.
3.With N as the centre and the same radius, cut the arc at A. Again, with A as the centre and the same radius, cut the arc at M.
4. Draw QM and produce it to R.
PQR is 120°.
5. With M as the centre and radius more than half of MN, draw an arc.
6. With N as the centre and the same radius mentioned in step(5), draw another arc, cutting the previously drawn arc at point X.
7. Draw QX and produce it to point S.
Ray QS is a bisector of PQR.

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