Question

Construct an angle of 120° and bisect it.

Answer 1

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.
$\angle \mathrm{PQR}\mathrm{is}120°.$
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.
$\mathrm{Ray}\mathrm{QS}\mathrm{is}\mathrm{a}\mathrm{bisector}\mathrm{of}\angle \mathrm{PQR}.$