Answer :

(i) Draw a given line l and take any point P on it.

(ii) Draw a perpendicular line at P to the line l such that PX = 4 cm.

(iii) Draw \(\angle \)2 = \(\angle \)1 i.e. 90° at PX and produce the line both sides.

(iv) m is the required line parallel to l through X.
Using Properties of Alternate Angles

- Q.1 Draw a line, say AB, take a point C outside it. Through C draw a line parallel to AB using ruler and compasses only.
- Q.3 Let l be a line and P be a point not on l. Through P, draw a line m parallel to l. Now join P to any point Q on l. Choose any other point R on m. Through R, draw a line parallel to PQ. Let this meet l at S. What shape do the two sets of parallel lines enclose?

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