Question
Construct the angle with the help of ruler and compasses only:
45°
45°
✓
Answer
To construct an angle of 45°, construct an angle of 90° and bisect it.
Construct the angle $\angle\text{AOB}=90^{\circ},$ where rays OA and OB intersect the arc at points P and T as shown in figure.
With P and T as centres and radius more than half of PT, draw two arcs, which cut each other at X
Draw OX and extend it to C to form the ray OC.
$\angle\text{AOC}$ is the required angle of 45°.
Construct the angle $\angle\text{AOB}=90^{\circ},$ where rays OA and OB intersect the arc at points P and T as shown in figure.
With P and T as centres and radius more than half of PT, draw two arcs, which cut each other at X
Draw OX and extend it to C to form the ray OC.
$\angle\text{AOC}$ is the required angle of 45°.
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