construct an angle of 15° using compasses
and ruler
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Draw a ray L of any length.
Taking centre as O draw an arc with any radius to cut the line L.
Label the intersecting point of L and the arc as B.
Taking centre as B draw an arc with the same radius taken before to cut the previous arc at C.
Join O and C and \angle COA=60^0
Draw an angle bisector OD to the \angle COA and \angle DOB=30^0
Draw an angle bisector OE to the \angle DOB and \angle EOB=15^0 is our required angle.
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