Question

The angle which can’t be drawn using only one of the two set squares is ____.

• A. ${45}^{\circ }$
• B. ${60}^{\circ }$
• C. ${30}^{\circ }$
• D. ${75}^{\circ }$

Answer 1

The correct option is D ${75}^{\circ }$

The two set squares we usually find in our geometry box are:
Set square 1: ${90}^o-{45}^o-{45}^o$
Set square 2: ${90}^o-{60}^o-{30}^o$
A ${45}^o$ angle can be drawn using set square 1.
Both ${30}^o$ and ${60}^o$ angles can be drawn using set square 2.
But to draw a ${75}^o$ angle, we need both set squares. And that is only possible if we keep the ${30}^o$ set square adjacent to the ${45}^o$ set-square.
Hence, we can’t draw a ${75}^o$ angle with only one set square.