Question
Construct the angle with the help of ruler and compasses only:
$105^\circ $
$105^\circ $
✓
Answer
Draw a ray $OA$ and make an angle $\angle\text{AOB}=90^{\circ}$ and $\angle\text{AOC}=120^{\circ}$
Now bisect $\angle\text{BOC}$ and get the ray $OD.$
$\angle\text{AOD}$ is the required angle of $105^\circ $
Now bisect $\angle\text{BOC}$ and get the ray $OD.$
$\angle\text{AOD}$ is the required angle of $105^\circ $
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