Question

Construct the 135° angle, using ruler and a pair of compass only.

Answer

Steps of construction:
To construct an angle of 135°.
  1. Draw an angle BOA = 90° at point O of given line AC.
  2. Bisect the angle BOC on the other side of OB, which is also 90°
  3. Thus, ∠BOD = ∠COD = 45°
    And, ∠AOD = 90° + 45° = 135°

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