Draw any exterior angle of a triangle and bisect it, by using compass only.

teps of construction

(i) First, draw a ∆ ABC and produce BC to D to form exterior ∠ACD.

(ii) With C as centre and any radius, draw an arc to intersect CD and CA at P and Q, respectively

(iii) With P and Q as centre and radius more than 1/2 PQ draw arcs, which intersect each other at point R.

(iv) Join CR, which is the required angle bisector of exterior ∠ACD.