Question
Using rulers and compasses only, draw an angle of measure 135°.

Answer


Steps of construction:
  1. Draw a line segment AB and produce BA to C.
  2. Keeping A as the center and any radius draw an arc which intersects AC at D and AB at E.
  3. Keeping D and E as center and radius more than half of DE draw arcs which intersect each other at F.
  4. Join FA which intersects the arc in (2) at G.
  5. Keeping G and D as center and radius more than half of GD draw arcs which intersect each other at H.
  6. Join HA.
Therefore $\angle\text{HAB}=135^\circ$

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