Data: To construct an angle of 45° at the initial point of a given ray.
Steps of Construction :
1. Draw straight line with any measurement.
2. Taking A as centre with any radius draw an arc, which meet AB at C.
3. With C centre, with the same radius draw an arc which meet at D.
4. With D centre, with the same radius, draw an arc which meet at D.
5. With centres E and D, with previous radius draw two arcs which rrieet at F.
6. Now AF is joined. Now AP1AF at A. Hence ∠BAF = 90°.
7. Now, AG which is angular bisector of ∠BAF is drawn.
8. ∠BAG = 45° is constructed.
∠FAB = 90°
AG is the angular bisector of ∠FAB
∴ ∠FAG = ∠GAB = 45°
∴ ∠GAB = 45°.
