Construct an angle of 60°and bisect it.

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Solution

Steps of construction:-
1. Draw a line segment AB.
2. With A as the centre and a small radius, draw an arc cutting AB at P.
3. With M as the centre and the same radius, draw an arc cutting the previously draw arc at Q.
4. Join AQ.
5. With P as the centre and a radius more than half of PQ, draw an arc.
6. With Q as the centre and the same radius as above, draw another arc cutting the previously drawn arc at D.
7. Join AD.
Thus, AD bisects $∠$ BAC.

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