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Question:

Construct an angle of 90° at the initial point of a given ray and justify the construction.

Solution:

  1. Draw a ray OB.
  2. Cut an arc from point O of any length (as shown in the fig).
  3. Cut two arcs Q and R on the previous arc with the same radius. (which are at the angle of 60° and 120°).
  4. Draw two arcs from points Q and R and their point of intersection is S.
  5. Join O and S.
    Hence, ∠SOP is 90°