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Question -

Draw a line, say AB, take a point C outside it. Through C draw a line parallel to AB using ruler and compasses only.



Answer -

Steps of construction:
(i) Draw a line AB.
(ii) Take any point D on it.
(iii) Join the given point C to D and mark ∠1 to ∠CDB.
(iv) Mark ∠1 = ∠2 at C and produce to both side.
(v) MN is the required line.
 
Using the Property of Alternate Angles

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