Question
Using a pair of compasses construct the following angles:
90°

Answer


Steps for construction:
  1. Draw a line PX.
  2. Take a point Q on AC. With Q as the centre and any convenient radius, draw an arc cutting AX at M and N.
  3. With N as the centre and radius more than half of MN, draw an arc.
  4. With M as the centre and the same radius as before, draw another arc to cut the previous arc at W.
  5. Draw QW produce it to R.
$\angle\text{PQR}$ is required angle of 90°.

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