Question
Construct the following angles using set-squares: $105^\circ $

Answer

$105^\circ $ Place $30^\circ $ set-square and make an angle $60^\circ $ by drawing the rays $BA$ and $BC$ as shown in figure.
Now place the vertex of $45^\circ $ of the set –square on the ray $BA$ as shown in figure and draw the ray $BD$. The angle so formed is $105^\circ $ Therefore, $\angle\text{DBC}=150^{\circ}$​​​​​​​

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