Question
Construct the angles of the following measurements:
75°

Answer


Steps of construction:
  1. Draw a line segment AB.
  2. Keeping A as centre and any radius draw an arc which intersects AB at C.
  3. Keeping C as centre and the same radius draw an arc which intersects the previous arc at D.
  4. Keeping D as centre and same radius draw an arc which intersects arc in (2) at E.
  5. Keeping E and D as centre and radius more than half of ED, draw arcs intersecting each other at F.
  6. Join FA which intersects arc in (2) at G.
  7. Keeping G and D as centre and radius more than half of GD draw arcs intersecting each other at H.
  8. Join HA.
Therefore $\angle\text{HAB}=75^\circ $

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