Question

construct an angle with the use of ruler and compass of 90 degree

Answer 1

Use ruler and draw a Line segment OB of any convenient length.
2). Now use compass and open it to any convenient radius. And with O as center , draw an arc which cuts line segment OB at X.
3). Again use compass and opened to the same radius (as of step 2). And with X as center , draw an arc which cuts first arc at D .
4). Again use compass and opened to the same radius (as of step 2). And with D as center , draw another arc which cuts first arc at C .
Again use compass and opened to the same radius (as of step 2). And With C & D as center , draw two arc which cuts each other atE . 
Join OE and extent it to A
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Answer 2

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