Question
Construct the angle with the help of ruler and compasses only:
105°

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 105º

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