Q5. Construct with ruler and compasses, angles of following measures:
The steps of constructions are:
1. Draw a ray OA
2. Taking O as the centre and convenient radius, mark an arc, which intersects OA at X.
3. Taking X as the centre and the same radius, cut the previous arc at Y. Taking Y as the centre and the same radius, draw another arc intersecting the same arc at Z.
4. Taking Y and Z as centres and the same radius, draw two arcs intersecting each other at S. Join OS. Thus, ∠SOA is a required angle of 90°.
5. Draw the bisector of SOA. Hence, ∠MOA = 45°