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Question
Draw an angle of 90° using a compass.
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Solution
Steps of construction:
(i) Draw a ray −−→OA
(ii) Taking O as centre and convenient radius, mark an arc, which intersects −−→OA at X.
(iii) Taking X as centre and same radius, cut previous arc at Y.
(iv) Taking Y as centre and same radius, draw another arc intersecting the same arc at Z.
(v) Taking Y and Z as centres and same radius, draw two arcs intersecting each other at S.
(vi) Join OS and produce it to form a ray OB. Thus, ∠BOA is required angle of 90∘
Steps of construction:
(i) Draw a ray −−→OA
(ii) Taking O as centre and convenient radius, mark an arc, which intersects −−→OA at X.
(iii) Taking X as centre and same radius, cut previous arc at Y.
(iv) Taking Y as centre and same radius, draw another arc intersecting the same arc at Z.
(v) Taking Y and Z as centres and same radius, draw two arcs intersecting each other at S.
(vi) Join OS and produce it to form a ray OB. Thus, ∠BOA is required angle of 90∘
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