Question

Construct 45° angles at the initial point of a given ray and justify the construction.

Answer 1

• Construct 90° with the given ray AB. 
• Bisect it from ∠BAD = 45°

Steps: 

• Construct ∠BAC = 60°
• Bisect ∠BAC = ∠DAC = 30° 
• Bisect ∠DAC such that ∠DAE = ∠FAC = 15° 
• ∠BAE=45°

ΔAXZ is equilateral and ∠YAZ = 15° 

∴∠XAY = 45°