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Draw POQ of measure 75 degree and find its line of symmetry.

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Steps of construction:

(a) Draw a line l and mark a point O on it.

(b) Place the pointer of the compasses at O and draw an arc of any radius which intersects the line l at A.

(c) Taking same radius, with centre A, cut the previous arc at B.

(d) Join OB, then BOA = 60 degree.

(e) Taking same radius, with centre B, cut the previous arc at C.

(f) Draw bisector of BOC. The angle is of 90 degree. . Mark it at D. Thus, DOA = 90 degree.

(g) Draw OP bar as bisector of DOB. Thus, POA = 75 degree.

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