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From a given point P draw a straight line 'a' which contains point P making with another given straight line 'b' an angle of given magnitude.
Take any point \(Q\) on \(b\). Through \(Q\), draw a line \(a'\) which makes the given angle with \(b\). Now draw a parallel to \(a'\) through \(P\). This is our required \(a\).