Question
Use a pair of compasses and construct the following angles:
45°

Answer


Steps of Construction:
  1. Draw a ray OA.
  2. With O as centre and any su itable radius draw an arc above OA to cut it 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. Then $\angle\text{AOE}=90^\circ.$
  7. Draw the bisector OF of angle $\angle\text{AOE}.$
Then, $\angle\text{AOF}=45^\circ$ is the required angle.

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