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First make a 60 degree and 90 degree angle with compass.then place the compass on 90 degree angle and mark an arc.in the same way place the compass on 60 degree angle and mark arc where the both arc's meet draw a line passing through it and your 75 degree angle is made
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make a straight line and construct a 30 degree angle on one side about the center of the line drawn the remainder will be 180-30=150 then bisect 150 degree that will give you 75 degrees    ..
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