Question
Use a pair of compasses and construct the following angles:
105°

Answer


Steps of Construction:
  1. Draw a ray OA.
  2. With O as centre and any suitable radius draw an arc cutting OA at B.
  3. With B as centre and same radius cut the previous arc at C and then with C as centre and same radius cut the arc at D.
  4. With C as centre and radius more than half CD draw an arc.
  5. With D as centre and same radius draw another arc to cut the previous arc at E.
  6. Join OE. Also join OD and produce it to F.
  7. Draw the bisector OG of $\angle\text{EOF}.$
Thus, $\angle\text{AOG}=105^\circ$ is the required angle.

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