Question

Using which of the following, is it not possible to construct a ${60}^{\circ }$ angle?

• A. Protractor, Ruler
• B. Compass, Ruler
• C. Set Square (30º-60º-90º)
• D. Set Square (45º-45º-90º)

Answer 1

The correct option is D

Set Square (45º-45º-90º)

We know that using protractor we can draw any angle which is marked on the protractor, i.e. from $0^{\circ }$ to ${180}^{\circ }$. Also, we have seen using compass we can make ${60}^{\circ }$ angle.

Set- squares let us draw the angles which are they made up of. For example, using (${30}^{\circ }$-${60}^{\circ }$-${90}^{\circ }$) set - square we can only make (${30}^{\circ }$, ${60}^{\circ }$ and ${90}^{\circ }$) angles. And using ${45}^{\circ }$-${45}^{\circ }$-${90}^{\circ }$ set - square we can only make ${45}^{\circ }$, ${45}^{\circ }$ and ${90}^{\circ }$angles.

So, constructing a ${60}^{\circ }$ angle is not possible using ${45}^{\circ }$-${45}^{\circ }$-${90}^{\circ }$ set - square.