Question

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

Answer 1

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°