Question

Which one of the following angles can not be constructed using compass and ruler?

• A. ${30}^{\circ }$
• B. ${15}^{\circ }$
• C. ${25}^{\circ }$
• D. ${45}^{\circ }$

Answer 1

The correct option is C ${25}^{\circ }$

We can draw ${60}^{\circ }$ and bisect it to get ${30}^{\circ }.$
Similarly, we can bisect ${30}^{\circ }$ and get ${15}^{\circ }.$
Also, we can draw ${90}^{\circ }$ and bisect it to get ${45}^{\circ }.$
But, ${50}^{\circ }$ cannot be drawn using compass and ruler to get its bisected angle of ${25}^{\circ }$.