1.

Construct an angle of 90^(@), using ruler and compasses only.

Answer»

Solution :STEPS OF CONSTRUCTION
(i) Draw a RAY `OA`.
(ii) With `O` as centre and a conventient radius, draw an arc cutting `OA` at `P`.
(iii) With `P` as centre and the same radius as above, draw an arc, cutting the above arc at `Q`.
(iv) With `Q` as centre and the same radius, draw another arc, cutting the arc drawn in Step (ii) at the POINT `R`.
(v) With `Q` and `R` as CENTRES and the same radius, draw TWO arcs intersecting each other at `M`.
(vi) Join `OM` and produce it to point `B`.
Then, `angleAOB` is the required angle of measure `90^(@)`.


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